102112122012120 has 96 divisors (see below), whose sum is σ = 362033887147920. Its totient is φ = 24754453820160.

The previous prime is 102112122012079. The next prime is 102112122012149. The reversal of 102112122012120 is 21210221211201.

102112122012120 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 220 + 1 + 212 + 0 = 666.

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 = 102112122012093 and 102112122012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12892940739 + ... + 12892948658.

Almost surely, 2^{102112122012120} is an apocalyptic number.

102112122012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112122012120 is an abundant number, since it is smaller than the sum of its proper divisors (259921765135800).

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

102112122012120 is a wasteful number, since it uses less digits than its factorization.

102112122012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25785889425 (or 25785889418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112122012120 its reverse (21210221211201), we get a palindrome (123322343223321).

The spelling of 102112122012120 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty".