100121331200 has 120 divisors (see below), whose sum is σ = 270609566040. Its totient is φ = 36407705600.

The previous prime is 100121331197. The next prime is 100121331221. The reversal of 100121331200 is 2133121001.

It is a super-2 number, since 2×100121331200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214745 + ... + 496344.

It is an arithmetic number, because the mean of its divisors is an integer number (2255079717).

Almost surely, 2^100121331200 is an apocalyptic number.

100121331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121331200 is an abundant number, since it is smaller than the sum of its proper divisors (170488234840).

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

100121331200 is an equidigital number, since it uses as much as digits as its factorization.

100121331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711128 (or 711107 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100121331200 its reverse (2133121001), we get a palindrome (102254452201).

The spelling of 100121331200 in words is "one hundred billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred".