102010000101137 has 2 divisors, whose sum is σ = 102010000101138. Its totient is φ = 102010000101136.

The previous prime is 102010000101091. The next prime is 102010000101161. The reversal of 102010000101137 is 731101000010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100634784192721 + 1375215908416 = 10031689^2 + 1172696^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010000101137 - 2²⁰ = 102009999052561 is a prime.

It is not a weakly prime, because it can be changed into another prime (102010000101167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005000050568 + 51005000050569.

It is an arithmetic number, because the mean of its divisors is an integer number (51005000050569).

Almost surely, 2^{102010000101137} is an apocalyptic number.

It is an amenable number.

102010000101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010000101137 is an equidigital number, since it uses as much as digits as its factorization.

102010000101137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 102010000101137 its reverse (731101000010201), we get a palindrome (833111000111338).

The spelling of 102010000101137 in words is "one hundred two trillion, ten billion, one hundred one thousand, one hundred thirty-seven".