102102211100112 has 40 divisors (see below), whose sum is σ = 269898092913504. Its totient is φ = 33242580357504.

The previous prime is 102102211100063. The next prime is 102102211100129. The reversal of 102102211100112 is 211001112201201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102102211100091 and 102102211100100.

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, 24734060703 + ... + 24734064830.

Almost surely, 2^{102102211100112} is an apocalyptic number.

102102211100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102211100112 is an abundant number, since it is smaller than the sum of its proper divisors (167795881813392).

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

102102211100112 is a wasteful number, since it uses less digits than its factorization.

102102211100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49468125587 (or 49468125581 counting only the distinct ones).

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

Adding to 102102211100112 its reverse (211001112201201), we get a palindrome (313103323301313).

The spelling of 102102211100112 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, one hundred thousand, one hundred twelve".