102001176601600 has 528 divisors, whose sum is σ = 262219269392640. Its totient is φ = 39310059110400.

The previous prime is 102001176601561. The next prime is 102001176601613. The reversal of 102001176601600 is 6106671100201.

It is a super-2 number, since 2×102001176601600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68595276057 + ... + 68595277543.

Almost surely, 2^{102001176601600} is an apocalyptic number.

102001176601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001176601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131109634696320).

102001176601600 is an abundant number, since it is smaller than the sum of its proper divisors (160218092791040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001176601600 is a wasteful number, since it uses less digits than its factorization.

102001176601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 102001176601600 in words is "one hundred two trillion, one billion, one hundred seventy-six million, six hundred one thousand, six hundred".