2100100200113 has 8 divisors (see below), whose sum is σ = 2260088548200. Its totient is φ = 1944162190080.

The previous prime is 2100100200089. The next prime is 2100100200127. The reversal of 2100100200113 is 3110020010012.

It can be written as a sum of positive squares in 4 ways, for example, as 83112277264 + 2016987922849 = 288292^2 + 1420207^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100100200113 - 2³⁰ = 2099026458289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100100200094 and 2100100200103.

It is not an unprimeable number, because it can be changed into a prime (2100100208113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012583438 + ... + 1012585511.

It is an arithmetic number, because the mean of its divisors is an integer number (282511068525).

Almost surely, 2^{2100100200113} is an apocalyptic number.

It is an amenable number.

2100100200113 is a deficient number, since it is larger than the sum of its proper divisors (159988348087).

2100100200113 is a wasteful number, since it uses less digits than its factorization.

2100100200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025169027.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2100100200113 its reverse (3110020010012), we get a palindrome (5210120210125).

The spelling of 2100100200113 in words is "two trillion, one hundred billion, one hundred million, two hundred thousand, one hundred thirteen".