102112102120 has 64 divisors (see below), whose sum is σ = 262980276480. Its totient is φ = 34955690496.

The previous prime is 102112102117. The next prime is 102112102163. The reversal of 102112102120 is 21201211201.

It is a self number, because there is not a number n which added to its sum of digits gives 102112102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100669 + ... + 462988.

It is an arithmetic number, because the mean of its divisors is an integer number (4109066820).

Almost surely, 2^102112102120 is an apocalyptic number.

102112102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112102120 is an abundant number, since it is smaller than the sum of its proper divisors (160868174360).

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

102112102120 is a wasteful number, since it uses less digits than its factorization.

102112102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564322 (or 564318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112102120 its reverse (21201211201), we get a palindrome (123313313321).

The spelling of 102112102120 in words is "one hundred two billion, one hundred twelve million, one hundred two thousand, one hundred twenty".