102112101002120 has 32 divisors (see below), whose sum is σ = 250638793369920. Its totient is φ = 37131673091520.

The previous prime is 102112101002083. The next prime is 102112101002137. The reversal of 102112101002120 is 21200101211201.

It is a junction number, because it is equal to n+sod(n) for n = 102112101002095 and 102112101002104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116036477972 + ... + 116036478851.

It is an arithmetic number, because the mean of its divisors is an integer number (7832462292810).

Almost surely, 2^{102112101002120} is an apocalyptic number.

102112101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112101002120 is an abundant number, since it is smaller than the sum of its proper divisors (148526692367800).

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

102112101002120 is a wasteful number, since it uses less digits than its factorization.

102112101002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232072956845 (or 232072956841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112101002120 its reverse (21200101211201), we get a palindrome (123312202213321).

The spelling of 102112101002120 in words is "one hundred two trillion, one hundred twelve billion, one hundred one million, two thousand, one hundred twenty".