100012311200 has 72 divisors (see below), whose sum is σ = 244198737468. Its totient is φ = 39997767680.

The previous prime is 100012311181. The next prime is 100012311233. The reversal of 100012311200 is 2113210001.

It can be written as a sum of positive squares in 6 ways, for example, as 51712579216 + 48299731984 = 227404^2 + 219772^2 .

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, 8772704 + ... + 8784096.

Almost surely, 2^100012311200 is an apocalyptic number.

100012311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012311200 is an abundant number, since it is smaller than the sum of its proper divisors (144186426268).

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

100012311200 is a wasteful number, since it uses less digits than its factorization.

100012311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22386 (or 22373 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100012311200 its reverse (2113210001), we get a palindrome (102125521201).

The spelling of 100012311200 in words is "one hundred billion, twelve million, three hundred eleven thousand, two hundred".