How do we recognize the Creator and what qualities should we look for which are specific to the Creator Alone?

We know intrinsically who God is though people may try to convince us to believe in many concepts which are not true. God is not born[1], for if He was born then the one who brought Him to life is a greater being than Himself. Those beings which are born and came into existence without prior existence cannot be God. He is One and only, the First and the Last there was nothing before Him and will be nothing after Him.[2] God is not attributed with weakness and hence it is illogical to believe in this.[3]

References:

[1] “He begets not, nor is He begotten.” (Qur’an 112:3)

[2] His is the kingdom of the heavens and the earth; He gives life and causes death; and He has power over all things. He is the First and the Last and the Ascendant (over all) and the Knower of hidden things, and He is Cognizant of all things. (Qur’an 57:2-3)

He is Allah besides Whom there is no god; the Knower of the unseen and the seen; He is the Beneficent, the Merciful. He is Allah, besides Whom there is no god; the King, the Holy, the Giver of peace, the Granter of security, Guardian over all, the Mighty, the Supreme, the Possessor of every greatness Glory be to Allah from what they set up (with Him). He is Allah the Creator, the Maker, the Fashioner; His are the most excellent names; whatever is in the heavens and the earth declares His glory; and He is the Mighty, the Wise. (Qur'an 59:22-24)

[3] The whole answer can also be found on the Sharh of the World of the Jinn and Devils by Dr. Bilaal Philips (Audio)