100112014431 has 96 divisors (see below), whose sum is σ = 173828229120. Its totient is φ = 54722304000.

The previous prime is 100112014427. The next prime is 100112014489. The reversal of 100112014431 is 134410211001.

100112014431 is a `hidden beast` number, since 10 + 0 + 11 + 201 + 443 + 1 = 666.

It is not a de Polignac number, because 100112014431 - 2² = 100112014427 is a prime.

It is a super-2 number, since 2×100112014431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112010431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9857206 + ... + 9867356.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710720).

Almost surely, 2^100112014431 is an apocalyptic number.

100112014431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112014431 is a deficient number, since it is larger than the sum of its proper divisors (73716214689).

100112014431 is a wasteful number, since it uses less digits than its factorization.

100112014431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100112014431 its reverse (134410211001), we get a palindrome (234522225432).

The spelling of 100112014431 in words is "one hundred billion, one hundred twelve million, fourteen thousand, four hundred thirty-one".