2100400113 has 16 divisors (see below), whose sum is σ = 3201322880. Its totient is φ = 1199961216.

The previous prime is 2100400109. The next prime is 2100400117. The reversal of 2100400113 is 3110040012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100400109) and next prime (2100400117).

It is not a de Polignac number, because 2100400113 - 2² = 2100400109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100400117) 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 15 ways as a sum of consecutive naturals, for example, 122781 + ... + 138837.

It is an arithmetic number, because the mean of its divisors is an integer number (200082680).

Almost surely, 2^2100400113 is an apocalyptic number.

It is an amenable number.

2100400113 is a deficient number, since it is larger than the sum of its proper divisors (1100922767).

2100400113 is a wasteful number, since it uses less digits than its factorization.

2100400113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22296.

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

The square root of 2100400113 is about 45830.1223323700. The cubic root of 2100400113 is about 1280.6604894056.

Adding to 2100400113 its reverse (3110040012), we get a palindrome (5210440125).

The spelling of 2100400113 in words is "two billion, one hundred million, four hundred thousand, one hundred thirteen".