101160966661 has 2 divisors, whose sum is σ = 101160966662. Its totient is φ = 101160966660.

The previous prime is 101160966593. The next prime is 101160966701. The reversal of 101160966661 is 166669061101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51605754561 + 49555212100 = 227169^2 + 222610^2 .

It is an emirp because it is prime and its reverse (166669061101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 199996091101 and 101190699991.

It is a cyclic number.

It is not a de Polignac number, because 101160966661 - 2²⁵ = 101127412229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101160960661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50580483330 + 50580483331.

It is an arithmetic number, because the mean of its divisors is an integer number (50580483331).

Almost surely, 2^101160966661 is an apocalyptic number.

It is an amenable number.

101160966661 is a deficient number, since it is larger than the sum of its proper divisors (1).

101160966661 is an equidigital number, since it uses as much as digits as its factorization.

101160966661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 101160966661 in words is "one hundred one billion, one hundred sixty million, nine hundred sixty-six thousand, six hundred sixty-one".