100112100132 has 96 divisors (see below), whose sum is σ = 262646544384. Its totient is φ = 29412374400.

The previous prime is 100112100047. The next prime is 100112100229. The reversal of 100112100132 is 231001211001.

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

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 31 ways as a sum of consecutive naturals, for example, 1345957 + ... + 1418387.

It is an arithmetic number, because the mean of its divisors is an integer number (2735901504).

Almost surely, 2^100112100132 is an apocalyptic number.

100112100132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131323272192).

100112100132 is an abundant number, since it is smaller than the sum of its proper divisors (162534444252).

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

100112100132 is a wasteful number, since it uses less digits than its factorization.

100112100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72769 (or 72767 counting only the distinct ones).

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

Adding to 100112100132 its reverse (231001211001), we get a palindrome (331113311133).

The spelling of 100112100132 in words is "one hundred billion, one hundred twelve million, one hundred thousand, one hundred thirty-two".