A googolplexianth is an incredibly large number with 10^googolplex digits, where googolplex is 10^10^100. Since each zero in standard form represents a power of ten, to calculate the number of zeros we can take the largest power of ten that divides the number.
10^googolplex is equal to 10 raised to the power of 10 raised to the power of 100. Taking the logarithm base 10 of both sides, we get:
log_{10}(10^{googolplex}) = googolplex
Since the largest power of ten that divides 10^googolplex is googolplex itself, a googolplexianth will have googolplex zeros in its standard form.
Therefore, the number of zeros in a googolplexianth is googolplex.
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