100331231121 has 16 divisors (see below), whose sum is σ = 162151485120. Its totient is φ = 60806806560.

The previous prime is 100331231053. The next prime is 100331231123. The reversal of 100331231121 is 121132133001.

100331231121 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 2 + 311 + 21 = 666.

It is not a de Polignac number, because 100331231121 - 2¹⁸ = 100330968977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100331231094 and 100331231103.

It is not an unprimeable number, because it can be changed into a prime (100331231123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 168907500 + ... + 168908093.

It is an arithmetic number, because the mean of its divisors is an integer number (10134467820).

Almost surely, 2^100331231121 is an apocalyptic number.

100331231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100331231121 is a deficient number, since it is larger than the sum of its proper divisors (61820253999).

100331231121 is a wasteful number, since it uses less digits than its factorization.

100331231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337815613 (or 337815607 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100331231121 its reverse (121132133001), we get a palindrome (221463364122).

The spelling of 100331231121 in words is "one hundred billion, three hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty-one".