201031122129961 has 2 divisors, whose sum is σ = 201031122129962. Its totient is φ = 201031122129960.

The previous prime is 201031122129953. The next prime is 201031122129967. The reversal of 201031122129961 is 169921221130102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124862633898025 + 76168488231936 = 11174195^2 + 8727456^2 .

It is a cyclic number.

It is not a de Polignac number, because 201031122129961 - 2³ = 201031122129953 is a prime.

It is not a weakly prime, because it can be changed into another prime (201031122129967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100515561064980 + 100515561064981.

It is an arithmetic number, because the mean of its divisors is an integer number (100515561064981).

Almost surely, 2^{201031122129961} is an apocalyptic number.

It is an amenable number.

201031122129961 is a deficient number, since it is larger than the sum of its proper divisors (1).

201031122129961 is an equidigital number, since it uses as much as digits as its factorization.

201031122129961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 201031122129961 in words is "two hundred one trillion, thirty-one billion, one hundred twenty-two million, one hundred twenty-nine thousand, nine hundred sixty-one".