102131100000000 has 972 divisors, whose sum is σ = 378157771226872. Its totient is φ = 26490240000000.

The previous prime is 102131099999969. The next prime is 102131100000049. The reversal of 102131100000000 is 1131201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33299998467 + ... + 33300001533.

Almost surely, 2^{102131100000000} is an apocalyptic number.

102131100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189078885613436).

102131100000000 is an abundant number, since it is smaller than the sum of its proper divisors (276026671226872).

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

102131100000000 is an frugal number, since it uses more digits than its factorization.

102131100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102131100000000 its reverse (1131201), we get a palindrome (102131101131201).

The spelling of 102131100000000 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred million", and thus it is an aban number.