100232121 has 16 divisors (see below), whose sum is σ = 146534400. Its totient is φ = 60437520.

The previous prime is 100232107. The next prime is 100232147. The reversal of 100232121 is 121232001.

It is not a de Polignac number, because 100232121 - 2¹⁰ = 100231097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100232097 and 100232106.

It is not an unprimeable number, because it can be changed into a prime (100232621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 14198.

It is an arithmetic number, because the mean of its divisors is an integer number (9158400).

Almost surely, 2^100232121 is an apocalyptic number.

100232121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100232121 is a deficient number, since it is larger than the sum of its proper divisors (46302279).

100232121 is a wasteful number, since it uses less digits than its factorization.

100232121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15476.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100232121 is about 10011.5993227855. The cubic root of 100232121 is about 464.5177425890.

Adding to 100232121 its reverse (121232001), we get a palindrome (221464122).

It can be divided in two parts, 100 and 232121, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 100232121 in words is "one hundred million, two hundred thirty-two thousand, one hundred twenty-one".