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Is infinity a higher number than a Googolplex?
No infinity is smaller than googolplexian
Is there a number higher than infinity?
No.
Is googolplex higher than infinity?
Mathematically = No. Googolplex is a number, and you can do all the mathematical operations with it. For example: (2 googolplex) plus (2 googolplex) = 4 googolplex. Infinity is more than any number you can write, and you can't do any mathematical operations with it. Example: (Infinity) divided by (3,000) = still infinity. Another example (I can't resist this): (Infinity) divided by (googolplex) = still infinity. But in our physical universe, nothing is infinite! Here's an example. If you were to fill the universe (its entire volume) with particles and with no empty spaces, it would take about 10^80 particles. Therefore you wouldn't even have enough space in the universe to write the number googolplex!
Is there a number bigger than infinity?
No, there isn't a number bigger than infinity. Infinity is well, infinite, so it never finishes.
What is infinity to the power infinity?
Also infinity. If you are concerned about the size of sets, it is a higher-level (larger) infinity. For example, 2 to the power aleph-zero, or aleph-zero to the power aleph-zero, is equal to aleph-one.
