To be technical infinity is an unending number. It time it self is and unending number also. But 10^ infinity would just be 100000000000 and so on. Think of infinity as a never ending 99999999999999. But since infinity never ends, it can't be higher or lower than any other number. So your answer is neither.
You can not answer that question. Why? Because the problem is impossible. Infinity is not a definite number rather it is a word used to describe never ending. So you technically said: Never ending times never ending. Unsolvable.