100011000097961 has 2 divisors, whose sum is σ = 100011000097962. Its totient is φ = 100011000097960.

The previous prime is 100011000097901. The next prime is 100011000097999. The reversal of 100011000097961 is 169790000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62145930126361 + 37865069971600 = 7883269^2 + 6153460^2 .

It is an emirp because it is prime and its reverse (169790000110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100011000097961 - 2²² = 100010995903657 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011000097901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500048980 + 50005500048981.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500048981).

Almost surely, 2^{100011000097961} is an apocalyptic number.

It is an amenable number.

100011000097961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000097961 is an equidigital number, since it uses as much as digits as its factorization.

100011000097961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 100011000097961 in words is "one hundred trillion, eleven billion, ninety-seven thousand, nine hundred sixty-one".