100031144121 has 12 divisors (see below), whose sum is σ = 152094137520. Its totient is φ = 63177564600.

The previous prime is 100031144089. The next prime is 100031144137. The reversal of 100031144121 is 121441130001.

It is not a de Polignac number, because 100031144121 - 2⁵ = 100031144089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031144094 and 100031144103.

It is not an unprimeable number, because it can be changed into a prime (100031144321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292488555 + ... + 292488896.

It is an arithmetic number, because the mean of its divisors is an integer number (12674511460).

Almost surely, 2^100031144121 is an apocalyptic number.

It is an amenable number.

100031144121 is a deficient number, since it is larger than the sum of its proper divisors (52062993399).

100031144121 is a wasteful number, since it uses less digits than its factorization.

100031144121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584977476 (or 584977473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100031144121 its reverse (121441130001), we get a palindrome (221472274122).

The spelling of 100031144121 in words is "one hundred billion, thirty-one million, one hundred forty-four thousand, one hundred twenty-one".