101110560600961 has 2 divisors, whose sum is σ = 101110560600962. Its totient is φ = 101110560600960.

The previous prime is 101110560600947. The next prime is 101110560601013. The reversal of 101110560600961 is 169006065011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101107670463361 + 2890137600 = 10055231^2 + 53760^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110560600961 - 2²¹ = 101110558503809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101110560600961.

It is not a weakly prime, because it can be changed into another prime (101110560600941) 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, 50555280300480 + 50555280300481.

It is an arithmetic number, because the mean of its divisors is an integer number (50555280300481).

Almost surely, 2^{101110560600961} is an apocalyptic number.

It is an amenable number.

101110560600961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110560600961 is an equidigital number, since it uses as much as digits as its factorization.

101110560600961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 101110560600961 in words is "one hundred one trillion, one hundred ten billion, five hundred sixty million, six hundred thousand, nine hundred sixty-one".