102099999999961 has 2 divisors, whose sum is σ = 102099999999962. Its totient is φ = 102099999999960.

The previous prime is 102099999999953. The next prime is 102100000000027. The reversal of 102099999999961 is 169999999990201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101932345784025 + 167654215936 = 10096155^2 + 409456^2 .

It is a cyclic number.

It is not a de Polignac number, because 102099999999961 - 2³ = 102099999999953 is a prime.

It is not a weakly prime, because it can be changed into another prime (102099999999931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51049999999980 + 51049999999981.

It is an arithmetic number, because the mean of its divisors is an integer number (51049999999981).

Almost surely, 2^{102099999999961} is an apocalyptic number.

It is an amenable number.

102099999999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

102099999999961 is an equidigital number, since it uses as much as digits as its factorization.

102099999999961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4649045868, while the sum is 91.

The spelling of 102099999999961 in words is "one hundred two trillion, ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred sixty-one".