100112133200 has 30 divisors (see below), whose sum is σ = 240519400974. Its totient is φ = 40044853120.

The previous prime is 100112133193. The next prime is 100112133211. The reversal of 100112133200 is 2331211001.

It can be written as a sum of positive squares in 3 ways, for example, as 71503936 + 100040629264 = 8456^2 + 316292^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125139767 + ... + 125140566.

Almost surely, 2^100112133200 is an apocalyptic number.

100112133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112133200 is an abundant number, since it is smaller than the sum of its proper divisors (140407267774).

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

100112133200 is a wasteful number, since it uses less digits than its factorization.

100112133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250280351 (or 250280340 counting only the distinct ones).

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

Adding to 100112133200 its reverse (2331211001), we get a palindrome (102443344201).

The spelling of 100112133200 in words is "one hundred billion, one hundred twelve million, one hundred thirty-three thousand, two hundred".