102112112112 has 40 divisors (see below), whose sum is σ = 266209724880. Its totient is φ = 33725099520.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112112 is 211211211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102112112091 and 102112112100.

It is a congruent number.

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, 9753189 + ... + 9763652.

It is an arithmetic number, because the mean of its divisors is an integer number (6655243122).

Almost surely, 2^102112112112 is an apocalyptic number.

102112112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112112112 is an abundant number, since it is smaller than the sum of its proper divisors (164097612768).

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

102112112112 is a wasteful number, since it uses less digits than its factorization.

102112112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516961 (or 19516955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102112112112 its reverse (211211211201), we get a palindrome (313323323313).

The spelling of 102112112112 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred twelve".