100312009961 has 2 divisors, whose sum is σ = 100312009962. Its totient is φ = 100312009960.

The previous prime is 100312009933. The next prime is 100312010023. The reversal of 100312009961 is 169900213001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85874785936 + 14437224025 = 293044^2 + 120155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100312009961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100312002961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50156004980 + 50156004981.

It is an arithmetic number, because the mean of its divisors is an integer number (50156004981).

Almost surely, 2^100312009961 is an apocalyptic number.

It is an amenable number.

100312009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312009961 is an equidigital number, since it uses as much as digits as its factorization.

100312009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The spelling of 100312009961 in words is "one hundred billion, three hundred twelve million, nine thousand, nine hundred sixty-one".