102100022102137 has 2 divisors, whose sum is σ = 102100022102138. Its totient is φ = 102100022102136.

The previous prime is 102100022102107. The next prime is 102100022102167. The reversal of 102100022102137 is 731201220001201.

It is a balanced prime because it is at equal distance from previous prime (102100022102107) and next prime (102100022102167).

It can be written as a sum of positive squares in only one way, i.e., 75785799894016 + 26314222208121 = 8705504^2 + 5129739^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100022102137 - 2²⁷ = 102099887884409 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100022102107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050011051068 + 51050011051069.

It is an arithmetic number, because the mean of its divisors is an integer number (51050011051069).

Almost surely, 2^{102100022102137} is an apocalyptic number.

It is an amenable number.

102100022102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100022102137 is an equidigital number, since it uses as much as digits as its factorization.

102100022102137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 102100022102137 its reverse (731201220001201), we get a palindrome (833301242103338).

The spelling of 102100022102137 in words is "one hundred two trillion, one hundred billion, twenty-two million, one hundred two thousand, one hundred thirty-seven".