2100100031 has 4 divisors (see below), whose sum is σ = 2191408752. Its totient is φ = 2008791312.

The previous prime is 2100099979. The next prime is 2100100033. The reversal of 2100100031 is 1300010012.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2100100031 - 2²⁶ = 2032991167 is a prime.

It is a super-2 number, since 2×2100100031² = 8820840280412401922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100099991 and 2100100018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45654326 + ... + 45654371.

It is an arithmetic number, because the mean of its divisors is an integer number (547852188).

Almost surely, 2^2100100031 is an apocalyptic number.

2100100031 is a deficient number, since it is larger than the sum of its proper divisors (91308721).

2100100031 is an equidigital number, since it uses as much as digits as its factorization.

2100100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91308720.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2100100031 is about 45826.8483642504. The cubic root of 2100100031 is about 1280.5994976193.

Adding to 2100100031 its reverse (1300010012), we get a palindrome (3400110043).

The spelling of 2100100031 in words is "two billion, one hundred million, one hundred thousand, thirty-one".