10102131200100 has 72 divisors (see below), whose sum is σ = 29238581736000. Its totient is φ = 2693003146880.

The previous prime is 10102131200087. The next prime is 10102131200101. The reversal of 10102131200100 is 100213120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10102131200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4714467 + ... + 6513866.

It is an arithmetic number, because the mean of its divisors is an integer number (406091413000).

Almost surely, 2^{10102131200100} is an apocalyptic number.

10102131200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102131200100 is an abundant number, since it is smaller than the sum of its proper divisors (19136450535900).

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

10102131200100 is a wasteful number, since it uses less digits than its factorization.

10102131200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231349 (or 11231342 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10102131200100 its reverse (100213120101), we get a palindrome (10202344320201).

The spelling of 10102131200100 in words is "ten trillion, one hundred two billion, one hundred thirty-one million, two hundred thousand, one hundred".