2100100431 has 32 divisors (see below), whose sum is σ = 3314868480. Its totient is φ = 1165881600.

The previous prime is 2100100417. The next prime is 2100100433. The reversal of 2100100431 is 1340010012.

It is a happy number.

It is not a de Polignac number, because 2100100431 - 2¹⁸ = 2099838287 is a prime.

It is a super-2 number, since 2×2100100431² = 8820843640572771522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37515 + ... + 74883.

It is an arithmetic number, because the mean of its divisors is an integer number (103589640).

Almost surely, 2^2100100431 is an apocalyptic number.

2100100431 is a deficient number, since it is larger than the sum of its proper divisors (1214768049).

2100100431 is a wasteful number, since it uses less digits than its factorization.

2100100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37527.

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

The square root of 2100100431 is about 45826.8527285041. The cubic root of 2100100431 is about 1280.5995789234.

Adding to 2100100431 its reverse (1340010012), we get a palindrome (3440110443).

The spelling of 2100100431 in words is "two billion, one hundred million, one hundred thousand, four hundred thirty-one".