102202200002137 has 2 divisors, whose sum is σ = 102202200002138. Its totient is φ = 102202200002136.

The previous prime is 102202200002131. The next prime is 102202200002153. The reversal of 102202200002137 is 731200002202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75798336338176 + 26403863663961 = 8706224^2 + 5138469^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202200002137 - 2³⁹ = 101652444188249 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202200002131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101100001068 + 51101100001069.

It is an arithmetic number, because the mean of its divisors is an integer number (51101100001069).

Almost surely, 2^{102202200002137} is an apocalyptic number.

It is an amenable number.

102202200002137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202200002137 is an equidigital number, since it uses as much as digits as its factorization.

102202200002137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 102202200002137 its reverse (731200002202201), we get a palindrome (833402202204338).

The spelling of 102202200002137 in words is "one hundred two trillion, two hundred two billion, two hundred million, two thousand, one hundred thirty-seven".