102202210098913 has 2 divisors, whose sum is σ = 102202210098914. Its totient is φ = 102202210098912.

The previous prime is 102202210098851. The next prime is 102202210098941. The reversal of 102202210098913 is 319890012202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91467360716449 + 10734849382464 = 9563857^2 + 3276408^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202210098913 - 2²⁹ = 102201673228001 is a prime.

It is a super-3 number, since 3×102202210098913³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102202210098943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101105049456 + 51101105049457.

It is an arithmetic number, because the mean of its divisors is an integer number (51101105049457).

Almost surely, 2^{102202210098913} is an apocalyptic number.

It is an amenable number.

102202210098913 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202210098913 is an equidigital number, since it uses as much as digits as its factorization.

102202210098913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 102202210098913 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, ninety-eight thousand, nine hundred thirteen".