100123022032 has 30 divisors (see below), whose sum is σ = 213226873874. Its totient is φ = 45510463680.

The previous prime is 100123022011. The next prime is 100123022057. The reversal of 100123022032 is 230220321001.

It can be written as a sum of positive squares in only one way, i.e., 99972321856 + 150700176 = 316184^2 + 12276^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100123021997 and 100123022015.

It is a congruent number.

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, 25856283 + ... + 25860154.

Almost surely, 2^100123022032 is an apocalyptic number.

It is an amenable number.

100123022032 is an abundant number, since it is smaller than the sum of its proper divisors (113103851842).

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

100123022032 is a wasteful number, since it uses less digits than its factorization.

100123022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51716467 (or 51716450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100123022032 its reverse (230220321001), we get a palindrome (330343343033).

It can be divided in two parts, 1001 and 23022032, that multiplied together give a palindrome (23045054032).

The spelling of 100123022032 in words is "one hundred billion, one hundred twenty-three million, twenty-two thousand, thirty-two".