101101111200961 has 2 divisors, whose sum is σ = 101101111200962. Its totient is φ = 101101111200960.

The previous prime is 101101111200917. The next prime is 101101111201009. The reversal of 101101111200961 is 169002111101101.

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., 89122209487936 + 11978901713025 = 9440456^2 + 3461055^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101111200961 - 2¹⁹ = 101101110676673 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101211200961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555600480 + 50550555600481.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555600481).

Almost surely, 2^{101101111200961} is an apocalyptic number.

It is an amenable number.

101101111200961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101111200961 is an equidigital number, since it uses as much as digits as its factorization.

101101111200961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 25.

The spelling of 101101111200961 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred thousand, nine hundred sixty-one".