100431144121 has 16 divisors (see below), whose sum is σ = 125334402048. Its totient is φ = 78182067600.

The previous prime is 100431144101. The next prime is 100431144127. The reversal of 100431144121 is 121441134001.

It is not a de Polignac number, because 100431144121 - 2⁵ = 100431144089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100431144092 and 100431144101.

It is not an unprimeable number, because it can be changed into a prime (100431144127) 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, 553155 + ... + 711928.

It is an arithmetic number, because the mean of its divisors is an integer number (7833400128).

Almost surely, 2^100431144121 is an apocalyptic number.

100431144121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100431144121 is a deficient number, since it is larger than the sum of its proper divisors (24903257927).

100431144121 is a wasteful number, since it uses less digits than its factorization.

100431144121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266132.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 100431144121 its reverse (121441134001), we get a palindrome (221872278122).

The spelling of 100431144121 in words is "one hundred billion, four hundred thirty-one million, one hundred forty-four thousand, one hundred twenty-one".