2101100113 has 16 divisors (see below), whose sum is σ = 2480312320. Its totient is φ = 1741726800.

The previous prime is 2101100077. The next prime is 2101100119. The reversal of 2101100113 is 3110011012.

It is a cyclic number.

It is not a de Polignac number, because 2101100113 - 2⁹ = 2101099601 is a prime.

It is a super-2 number, since 2×2101100113² = 8829243369697225538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101100113.

It is not an unprimeable number, because it can be changed into a prime (2101100119) 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, 643078 + ... + 646336.

It is an arithmetic number, because the mean of its divisors is an integer number (155019520).

Almost surely, 2^2101100113 is an apocalyptic number.

It is an amenable number.

2101100113 is a deficient number, since it is larger than the sum of its proper divisors (379212207).

2101100113 is a wasteful number, since it uses less digits than its factorization.

2101100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 2101100113 is about 45837.7585948528. The cubic root of 2101100113 is about 1280.8027421074.

Adding to 2101100113 its reverse (3110011012), we get a palindrome (5211111125).

The spelling of 2101100113 in words is "two billion, one hundred one million, one hundred thousand, one hundred thirteen".