2100102002113 has 16 divisors (see below), whose sum is σ = 2252115290880. Its totient is φ = 1951260270336.

The previous prime is 2100102002107. The next prime is 2100102002143. The reversal of 2100102002113 is 3112002010012.

It is a cyclic number.

It is not a de Polignac number, because 2100102002113 - 2³⁷ = 1962663048641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102002093 and 2100102002102.

It is not an unprimeable number, because it can be changed into a prime (2100102002143) 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, 9325995 + ... + 9548527.

It is an arithmetic number, because the mean of its divisors is an integer number (140757205680).

Almost surely, 2^{2100102002113} is an apocalyptic number.

It is an amenable number.

2100102002113 is a deficient number, since it is larger than the sum of its proper divisors (152013288767).

2100102002113 is a wasteful number, since it uses less digits than its factorization.

2100102002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229656.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2100102002113 its reverse (3112002010012), we get a palindrome (5212104012125).

The spelling of 2100102002113 in words is "two trillion, one hundred billion, one hundred two million, two thousand, one hundred thirteen".