101537361361 has 2 divisors, whose sum is σ = 101537361362. Its totient is φ = 101537361360.

The previous prime is 101537361323. The next prime is 101537361383. The reversal of 101537361361 is 163163735101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83428545600 + 18108815761 = 288840^2 + 134569^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101537361361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101537361361.

It is not a weakly prime, because it can be changed into another prime (101537361301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50768680680 + 50768680681.

It is an arithmetic number, because the mean of its divisors is an integer number (50768680681).

Almost surely, 2^101537361361 is an apocalyptic number.

It is an amenable number.

101537361361 is a deficient number, since it is larger than the sum of its proper divisors (1).

101537361361 is an equidigital number, since it uses as much as digits as its factorization.

101537361361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 101537361361 in words is "one hundred one billion, five hundred thirty-seven million, three hundred sixty-one thousand, three hundred sixty-one".