First, when dealing with powers of 10 the number of zeros in the number is equal to the power of the 10:
101 = 10 which has 1 zero
102 = 100 which has 2 zeros
103 = 1000 which has 3 zeros
etc.
A googolplex is 10googol
A googlol is 10100 → a googolplex = 10(10100)
→ a googolplex has a googol, or 10100 (which is 1 followed by 100 zeros) zeros. ie a googolplex has 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 zeros
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1 googol = 10100 = ' 1 ' with 100 zeros after it
1 googolplex = 10googol = ' 1 ' with 1 googol zeros after it
1 googolplexian = 10googolplex = ' 1 ' with 1 googolplex zeros after it