101160500061557 has 2 divisors, whose sum is σ = 101160500061558. Its totient is φ = 101160500061556.

The previous prime is 101160500061503. The next prime is 101160500061623. The reversal of 101160500061557 is 755160005061101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50720476792561 + 50440023268996 = 7121831^2 + 7102114^2 .

It is an emirp because it is prime and its reverse (755160005061101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101160500061557 - 2¹⁸ = 101160499799413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101160500061557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101160500066557) 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, 50580250030778 + 50580250030779.

It is an arithmetic number, because the mean of its divisors is an integer number (50580250030779).

Almost surely, 2^{101160500061557} is an apocalyptic number.

It is an amenable number.

101160500061557 is a deficient number, since it is larger than the sum of its proper divisors (1).

101160500061557 is an equidigital number, since it uses as much as digits as its factorization.

101160500061557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 101160500061557 in words is "one hundred one trillion, one hundred sixty billion, five hundred million, sixty-one thousand, five hundred fifty-seven".