102117807697 has 2 divisors, whose sum is σ = 102117807698. Its totient is φ = 102117807696.

The previous prime is 102117807679. The next prime is 102117807719. The reversal of 102117807697 is 796708711201.

Together with previous prime (102117807679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101971010241 + 146797456 = 319329^2 + 12116^2 .

It is a cyclic number.

It is not a de Polignac number, because 102117807697 - 2¹¹ = 102117805649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102117807697.

It is not a weakly prime, because it can be changed into another prime (102117807647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51058903848 + 51058903849.

It is an arithmetic number, because the mean of its divisors is an integer number (51058903849).

Almost surely, 2^102117807697 is an apocalyptic number.

It is an amenable number.

102117807697 is a deficient number, since it is larger than the sum of its proper divisors (1).

102117807697 is an equidigital number, since it uses as much as digits as its factorization.

102117807697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 296352, while the sum is 49.

The spelling of 102117807697 in words is "one hundred two billion, one hundred seventeen million, eight hundred seven thousand, six hundred ninety-seven".