102121112211100 has 72 divisors (see below), whose sum is σ = 224731728498816. Its totient is φ = 40271726040000.

The previous prime is 102121112211031. The next prime is 102121112211133. The reversal of 102121112211100 is 1112211121201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219377595 + ... + 219842605.

It is an arithmetic number, because the mean of its divisors is an integer number (3121274006928).

Almost surely, 2^{102121112211100} is an apocalyptic number.

102121112211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121112211100 is an abundant number, since it is smaller than the sum of its proper divisors (122610616287716).

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

102121112211100 is a wasteful number, since it uses less digits than its factorization.

102121112211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496027 (or 496020 counting only the distinct ones).

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

Adding to 102121112211100 its reverse (1112211121201), we get a palindrome (103233323332301).

The spelling of 102121112211100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred".