2110102121137 has 2 divisors, whose sum is σ = 2110102121138. Its totient is φ = 2110102121136.

The previous prime is 2110102121107. The next prime is 2110102121177. The reversal of 2110102121137 is 7311212010112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2107726143601 + 2375977536 = 1451801^2 + 48744^2 .

It is a cyclic number.

It is not a de Polignac number, because 2110102121137 - 2¹⁹ = 2110101596849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2110102121107) 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, 1055051060568 + 1055051060569.

It is an arithmetic number, because the mean of its divisors is an integer number (1055051060569).

Almost surely, 2^{2110102121137} is an apocalyptic number.

It is an amenable number.

2110102121137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2110102121137 is an equidigital number, since it uses as much as digits as its factorization.

2110102121137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 2110102121137 its reverse (7311212010112), we get a palindrome (9421314131249).

The spelling of 2110102121137 in words is "two trillion, one hundred ten billion, one hundred two million, one hundred twenty-one thousand, one hundred thirty-seven".