102021113200032 has 144 divisors (see below), whose sum is σ = 312444430808328. Its totient is φ = 31390632345600.

The previous prime is 102021113200021. The next prime is 102021113200049. The reversal of 102021113200032 is 230002311120201.

102021113200032 is a `hidden beast` number, since 1 + 0 + 202 + 111 + 320 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97023366801936 + 4997746398096 = 9850044^2 + 2235564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102021113199978 and 102021113200014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304597968 + ... + 304932720.

Almost surely, 2^{102021113200032} is an apocalyptic number.

102021113200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021113200032 is an abundant number, since it is smaller than the sum of its proper divisors (210423317608296).

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

102021113200032 is a wasteful number, since it uses less digits than its factorization.

102021113200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416183 (or 416172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102021113200032 its reverse (230002311120201), we get a palindrome (332023424320233).

The spelling of 102021113200032 in words is "one hundred two trillion, twenty-one billion, one hundred thirteen million, two hundred thousand, thirty-two".