100133112 has 32 divisors (see below), whose sum is σ = 255059280. Its totient is φ = 32747520.

The previous prime is 100133101. The next prime is 100133123. The reversal of 100133112 is 211331001.

It is an interprime number because it is at equal distance from previous prime (100133101) and next prime (100133123).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38089 + ... + 40632.

Almost surely, 2^100133112 is an apocalyptic number.

100133112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133112 is an abundant number, since it is smaller than the sum of its proper divisors (154926168).

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

100133112 is a wasteful number, since it uses less digits than its factorization.

100133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78783 (or 78779 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 100133112 is about 10006.6533866223. The cubic root of 100133112 is about 464.3647424382.

Adding to 100133112 its reverse (211331001), we get a palindrome (311464113).

The spelling of 100133112 in words is "one hundred million, one hundred thirty-three thousand, one hundred twelve".