165166596044101 has 2 divisors, whose sum is σ = 165166596044102. Its totient is φ = 165166596044100.

The previous prime is 165166596044071. The next prime is 165166596044111. The reversal of 165166596044101 is 101440695661561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124844286543876 + 40322309500225 = 11173374^2 + 6349985^2 .

It is an emirp because it is prime and its reverse (101440695661561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165166596044101 - 2⁴¹ = 162967572788549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165166596044111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82583298022050 + 82583298022051.

It is an arithmetic number, because the mean of its divisors is an integer number (82583298022051).

Almost surely, 2^{165166596044101} is an apocalyptic number.

It is an amenable number.

165166596044101 is a deficient number, since it is larger than the sum of its proper divisors (1).

165166596044101 is an equidigital number, since it uses as much as digits as its factorization.

165166596044101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 165166596044101 in words is "one hundred sixty-five trillion, one hundred sixty-six billion, five hundred ninety-six million, forty-four thousand, one hundred one".