2110100031 has 24 divisors (see below), whose sum is σ = 3385046160. Its totient is φ = 1298520288.

The previous prime is 2110100029. The next prime is 2110100071. The reversal of 2110100031 is 1300010112.

It is not a de Polignac number, because 2110100031 - 2¹ = 2110100029 is a prime.

It is a super-2 number, since 2×2110100031² = 8905044281652401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110099986 and 2110100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226656 + ... + 235781.

It is an arithmetic number, because the mean of its divisors is an integer number (141043590).

Almost surely, 2^2110100031 is an apocalyptic number.

2110100031 is a deficient number, since it is larger than the sum of its proper divisors (1274946129).

2110100031 is a wasteful number, since it uses less digits than its factorization.

2110100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462472 (or 462453 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2110100031 is about 45935.8251368145. The cubic root of 2110100031 is about 1282.6288807248.

Adding to 2110100031 its reverse (1300010112), we get a palindrome (3410110143).

The spelling of 2110100031 in words is "two billion, one hundred ten million, one hundred thousand, thirty-one".