2100100113 has 12 divisors (see below), whose sum is σ = 3070026960. Its totient is φ = 1383197976.

The previous prime is 2100100109. The next prime is 2100100127. The reversal of 2100100113 is 3110010012.

It is not a de Polignac number, because 2100100113 - 2² = 2100100109 is a prime.

It is a super-2 number, since 2×2100100113² = 8820840969245225538, 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 = 2100100095 and 2100100104.

It is not an unprimeable number, because it can be changed into a prime (2100180113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404943 + ... + 1406436.

It is an arithmetic number, because the mean of its divisors is an integer number (255835580).

Almost surely, 2^2100100113 is an apocalyptic number.

It is an amenable number.

2100100113 is a deficient number, since it is larger than the sum of its proper divisors (969926847).

2100100113 is a wasteful number, since it uses less digits than its factorization.

2100100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811468 (or 2811465 counting only the distinct ones).

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

The square root of 2100100113 is about 45826.8492589224. The cubic root of 2100100113 is about 1280.5995142867.

Adding to 2100100113 its reverse (3110010012), we get a palindrome (5210110125).

The spelling of 2100100113 in words is "two billion, one hundred million, one hundred thousand, one hundred thirteen".