101561255264617 has 2 divisors, whose sum is σ = 101561255264618. Its totient is φ = 101561255264616.

The previous prime is 101561255264611. The next prime is 101561255264639. The reversal of 101561255264617 is 716462552165101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76171507961641 + 25389747302976 = 8727629^2 + 5038824^2 .

It is a cyclic number.

It is not a de Polignac number, because 101561255264617 - 2¹⁹ = 101561254740329 is a prime.

It is not a weakly prime, because it can be changed into another prime (101561255264611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50780627632308 + 50780627632309.

It is an arithmetic number, because the mean of its divisors is an integer number (50780627632309).

Almost surely, 2^{101561255264617} is an apocalyptic number.

It is an amenable number.

101561255264617 is a deficient number, since it is larger than the sum of its proper divisors (1).

101561255264617 is an equidigital number, since it uses as much as digits as its factorization.

101561255264617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 101561255264617 in words is "one hundred one trillion, five hundred sixty-one billion, two hundred fifty-five million, two hundred sixty-four thousand, six hundred seventeen".