100112033232 has 60 divisors (see below), whose sum is σ = 280461813060. Its totient is φ = 33336474624.

The previous prime is 100112033191. The next prime is 100112033293. The reversal of 100112033232 is 232330211001.

100112033232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86344296336 + 13767736896 = 293844^2 + 117336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215107 + ... + 496482.

It is an arithmetic number, because the mean of its divisors is an integer number (4674363551).

Almost surely, 2^100112033232 is an apocalyptic number.

100112033232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112033232 is an abundant number, since it is smaller than the sum of its proper divisors (180349779828).

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

100112033232 is a wasteful number, since it uses less digits than its factorization.

100112033232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712580 (or 712571 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100112033232 its reverse (232330211001), we get a palindrome (332442244233).

The spelling of 100112033232 in words is "one hundred billion, one hundred twelve million, thirty-three thousand, two hundred thirty-two".