Here's everything:
He is immovable
If He were to be moved, He would have to be moved by Himself or another. Since being moved by another would imply being moved by another prior to Him, it is against His nature as the first Mover. It is also impossible for Him to move Himself(if you want, I will explain, but I doubt this will be a major bone of contention).
All motion is observed to proceed form something immobile, from something that us not moved by the motion in question. Thus we see alterations, corruptions, etc., are not effective on the mover in question.
He is eternal
Everything that begins or ceases to be is effected by motion or change. But He is immobile, hence He is eternal.
He necessarily exists
Everything that has the possibility of being and of not being is mutable. But God is immutable(above). Therefore it is impossible for God to be an not be. Anything that exists in such a way that it is impossible for it not to exist, is Being itself. Necessary existence and the impossibility of non-existence are the same. Also, anything that has the possibility of being and not being needs something else to make it be, for, as far as the thing is concerned, it is indifferent to either option. But that which causes another thing to be is prior to that thing. Hence something exists prior to that which has the possibility of being and not being. Therefore it is impossible for Him to be or not be. He must be of necessity.
He is everlasting
Whatever has no possibility of not being, can never not be. If anything always existed begins to be, it needs some cause for its existence. Nothing brings itself forth from potency to act from non-being to being.
Absence of sucession
No succession occurs in God, His entire existence is simultaneous. Succession is not found except in things that are in some way able to be moved, motion causes the succession of time. God is not subject to motion. His existence is, therefore, simultaneously whole. (there is more to this)
God is not a genus
God cannot be a genus. What a thing is, but not that it is, comes from its genus; the thing is established in its proper existence by differences. But God is very existence itself. He cannot be a genus. Also, every genus is divided by some differences. But there can be no differences in existence Itself. (so no, God is not technically male or female. He is just a word)
All right, you want an argument for God's intelligence.
Here goes.
First, the perfect logically precedes the imperfect. Although the same being evolves from perfect to imperfect (as in a boy prior to a man), everything imperfect must come from a perfect original. The child is not conceive except by a man, and the seed is not existence if not for the plant it came from. Further, any perfections found in anything must be superabundantly present in God. In God exists all perfections in creatures. Whoever moves something toward its perfection, first must possess in itself the perfection it gives to others. A teacher has the knowledge he passes on to students. God possesses the perfection he gives to existence. All perfections found in things must exist in God super-abundantly. Also whatever contains some perfection but not others is contained under a genus. God is not. If the divine essence is infinite, it must possess all perfections in the genera.
Now, we must demonstrate that God is an intelligent Being. All perfections pre-exist in Him. Among all the perfections in creatures, intelligence is a special importance, because intellectual beings are more powerful than others. Also, God is the first mover. This is, apparently, a property of intellect. The intellect uses all other things as an instrument, animals and plants and inantimate objects, of a sort, to cause motion. God, the first mover, must be intelligent.