100131122211200 has 96 divisors (see below), whose sum is σ = 247514862090000. Its totient is φ = 40026589931520.

The previous prime is 100131122211199. The next prime is 100131122211247. The reversal of 100131122211200 is 2112221131001.

It is a happy number.

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, 5143580 + ... + 15057179.

Almost surely, 2^{100131122211200} is an apocalyptic number.

100131122211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131122211200 is an abundant number, since it is smaller than the sum of its proper divisors (147383739878800).

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

100131122211200 is a wasteful number, since it uses less digits than its factorization.

100131122211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202332 (or 20202315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100131122211200 its reverse (2112221131001), we get a palindrome (102243343342201).

The spelling of 100131122211200 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".