102112120222112 has 96 divisors (see below), whose sum is σ = 269918751441024. Its totient is φ = 36723639628800.

The previous prime is 102112120222097. The next prime is 102112120222129. The reversal of 102112120222112 is 211222021211201.

102112120222112 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593875939 + ... + 1593940002.

It is an arithmetic number, because the mean of its divisors is an integer number (2811653660844).

Almost surely, 2^{102112120222112} is an apocalyptic number.

It is an amenable number.

102112120222112 is an abundant number, since it is smaller than the sum of its proper divisors (167806631218912).

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

102112120222112 is a wasteful number, since it uses less digits than its factorization.

102112120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187815982 (or 3187815974 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102112120222112 its reverse (211222021211201), we get a palindrome (313334141433313).

The spelling of 102112120222112 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".