2110100102113 has 2 divisors, whose sum is σ = 2110100102114. Its totient is φ = 2110100102112.

The previous prime is 2110100102111. The next prime is 2110100102137. The reversal of 2110100102113 is 3112010010112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1247269043344 + 862831058769 = 1116812^2 + 928887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110100102113 - 2¹ = 2110100102111 is a prime.

Together with 2110100102111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2110100102093 and 2110100102102.

It is not a weakly prime, because it can be changed into another prime (2110100102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050051056 + 1055050051057.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050051057).

Almost surely, 2^{2110100102113} is an apocalyptic number.

It is an amenable number.

2110100102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100102113 is an equidigital number, since it uses as much as digits as its factorization.

2110100102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2110100102113 its reverse (3112010010112), we get a palindrome (5222110112225).

The spelling of 2110100102113 in words is "two trillion, one hundred ten billion, one hundred million, one hundred two thousand, one hundred thirteen".