100131121200 has 240 divisors, whose sum is σ = 353524622976. Its totient is φ = 24023654400.

The previous prime is 100131121187. The next prime is 100131121273. The reversal of 100131121200 is 2121131001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241299 + ... + 1319501.

Almost surely, 2^100131121200 is an apocalyptic number.

100131121200 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 100131121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176762311488).

100131121200 is an abundant number, since it is smaller than the sum of its proper divisors (253393501776).

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

100131121200 is a wasteful number, since it uses less digits than its factorization.

100131121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78332 (or 78321 counting only the distinct ones).

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

Adding to 100131121200 its reverse (2121131001), we get a palindrome (102252252201).

The spelling of 100131121200 in words is "one hundred billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred".