102111102100112 has 80 divisors (see below), whose sum is σ = 226412036618880. Its totient is φ = 43702145270784.

The previous prime is 102111102100099. The next prime is 102111102100127. The reversal of 102111102100112 is 211001201111201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 355511663 + ... + 355798769.

It is an arithmetic number, because the mean of its divisors is an integer number (2830150457736).

Almost surely, 2^{102111102100112} is an apocalyptic number.

It is an amenable number.

102111102100112 is an abundant number, since it is smaller than the sum of its proper divisors (124300934518768).

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

102111102100112 is a wasteful number, since it uses less digits than its factorization.

102111102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291448 (or 291442 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102111102100112 its reverse (211001201111201), we get a palindrome (313112303211313).

The spelling of 102111102100112 in words is "one hundred two trillion, one hundred eleven billion, one hundred two million, one hundred thousand, one hundred twelve".