100112131200 has 96 divisors (see below), whose sum is σ = 329744363760. Its totient is φ = 26696565760.

The previous prime is 100112131159. The next prime is 100112131201. The reversal of 100112131200 is 2131211001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (100112131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5204574 + ... + 5223773.

Almost surely, 2^100112131200 is an apocalyptic number.

100112131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112131200 is an abundant number, since it is smaller than the sum of its proper divisors (229632232560).

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

100112131200 is a wasteful number, since it uses less digits than its factorization.

100112131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428374 (or 10428357 counting only the distinct ones).

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

Adding to 100112131200 its reverse (2131211001), we get a palindrome (102243342201).

The spelling of 100112131200 in words is "one hundred billion, one hundred twelve million, one hundred thirty-one thousand, two hundred".