100232112321 has 48 divisors (see below), whose sum is σ = 165493291392. Its totient is φ = 57864153600.

The previous prime is 100232112307. The next prime is 100232112329. The reversal of 100232112321 is 123211232001.

100232112321 is a `hidden beast` number, since 1 + 0 + 0 + 232 + 112 + 321 = 666.

It is not a de Polignac number, because 100232112321 - 2¹⁴ = 100232095937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100232112294 and 100232112303.

It is not an unprimeable number, because it can be changed into a prime (100232112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457431 + ... + 640083.

It is an arithmetic number, because the mean of its divisors is an integer number (3447776904).

Almost surely, 2^100232112321 is an apocalyptic number.

100232112321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100232112321 is a deficient number, since it is larger than the sum of its proper divisors (65261179071).

100232112321 is a wasteful number, since it uses less digits than its factorization.

100232112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182934 (or 182931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100232112321 its reverse (123211232001), we get a palindrome (223443344322).

The spelling of 100232112321 in words is "one hundred billion, two hundred thirty-two million, one hundred twelve thousand, three hundred twenty-one".