102131122001100 has 72 divisors (see below), whose sum is σ = 298261056195648. Its totient is φ = 26980433467200.

The previous prime is 102131122001093. The next prime is 102131122001149. The reversal of 102131122001100 is 1100221131201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102131122001100.

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, 1590795346 + ... + 1590859545.

It is an arithmetic number, because the mean of its divisors is an integer number (4142514669384).

Almost surely, 2^{102131122001100} is an apocalyptic number.

102131122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131122001100 is an abundant number, since it is smaller than the sum of its proper divisors (196129934194548).

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

102131122001100 is a wasteful number, since it uses less digits than its factorization.

102131122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181655015 (or 3181655008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102131122001100 its reverse (1100221131201), we get a palindrome (103231343132301).

The spelling of 102131122001100 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred twenty-two million, one thousand, one hundred".