2110100102137 has 2 divisors, whose sum is σ = 2110100102138. Its totient is φ = 2110100102136.

The previous prime is 2110100102113. The next prime is 2110100102203. The reversal of 2110100102137 is 7312010010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1813711321081 + 296388781056 = 1346741^2 + 544416^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110100102137 - 2²⁷ = 2109965884409 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110100102237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055050051068 + 1055050051069.

It is an arithmetic number, because the mean of its divisors is an integer number (1055050051069).

Almost surely, 2^{2110100102137} is an apocalyptic number.

It is an amenable number.

2110100102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110100102137 is an equidigital number, since it uses as much as digits as its factorization.

2110100102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 2110100102137 its reverse (7312010010112), we get a palindrome (9422110112249).

The spelling of 2110100102137 in words is "two trillion, one hundred ten billion, one hundred million, one hundred two thousand, one hundred thirty-seven".