100232213121 has 24 divisors (see below), whose sum is σ = 148715647080. Its totient is φ = 65005514496.

The previous prime is 100232213111. The next prime is 100232213203. The reversal of 100232213121 is 121312232001.

100232213121 is a `hidden beast` number, since 100 + 232 + 21 + 312 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8081111025 + 92151102096 = 89895^2 + 303564^2 .

It is not a de Polignac number, because 100232213121 - 2¹⁴ = 100232196737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100232213094 and 100232213103.

It is not an unprimeable number, because it can be changed into a prime (100232213101) 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 23 ways as a sum of consecutive naturals, for example, 2595885 + ... + 2634213.

It is an arithmetic number, because the mean of its divisors is an integer number (6196485295).

Almost surely, 2^100232213121 is an apocalyptic number.

It is an amenable number.

100232213121 is a deficient number, since it is larger than the sum of its proper divisors (48483433959).

100232213121 is a wasteful number, since it uses less digits than its factorization.

100232213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46225 (or 46222 counting only the distinct ones).

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

Adding to 100232213121 its reverse (121312232001), we get a palindrome (221544445122).

The spelling of 100232213121 in words is "one hundred billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred twenty-one".