100032112100 has 18 divisors (see below), whose sum is σ = 217069683474. Its totient is φ = 40012844800.

The previous prime is 100032112099. The next prime is 100032112129. The reversal of 100032112100 is 1211230001.

It can be written as a sum of positive squares in 3 ways, for example, as 936849664 + 99095262436 = 30608^2 + 314794^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500160461 + ... + 500160660.

Almost surely, 2^100032112100 is an apocalyptic number.

100032112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100032112100 is an abundant number, since it is smaller than the sum of its proper divisors (117037571374).

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

100032112100 is a wasteful number, since it uses less digits than its factorization.

100032112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000321135 (or 1000321128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100032112100 its reverse (1211230001), we get a palindrome (101243342101).

The spelling of 100032112100 in words is "one hundred billion, thirty-two million, one hundred twelve thousand, one hundred".