165616116101 has 2 divisors, whose sum is σ = 165616116102. Its totient is φ = 165616116100.

The previous prime is 165616116089. The next prime is 165616116137. The reversal of 165616116101 is 101611616561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85512965476 + 80103150625 = 292426^2 + 283025^2 .

It is a cyclic number.

It is not a de Polignac number, because 165616116101 - 2³⁰ = 164542374277 is a prime.

It is a super-2 number, since 2×165616116101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165616116151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82808058050 + 82808058051.

It is an arithmetic number, because the mean of its divisors is an integer number (82808058051).

Almost surely, 2^165616116101 is an apocalyptic number.

It is an amenable number.

165616116101 is a deficient number, since it is larger than the sum of its proper divisors (1).

165616116101 is an equidigital number, since it uses as much as digits as its factorization.

165616116101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 165616116101 in words is "one hundred sixty-five billion, six hundred sixteen million, one hundred sixteen thousand, one hundred one".