102149482418657 has 2 divisors, whose sum is σ = 102149482418658. Its totient is φ = 102149482418656.

The previous prime is 102149482418629. The next prime is 102149482418663. The reversal of 102149482418657 is 756814284941201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102066547634401 + 82934784256 = 10102799^2 + 287984^2 .

It is a cyclic number.

It is not a de Polignac number, because 102149482418657 - 2²⁶ = 102149415309793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102149482418657.

It is not a weakly prime, because it can be changed into another prime (102149482418957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51074741209328 + 51074741209329.

It is an arithmetic number, because the mean of its divisors is an integer number (51074741209329).

Almost surely, 2^{102149482418657} is an apocalyptic number.

It is an amenable number.

102149482418657 is a deficient number, since it is larger than the sum of its proper divisors (1).

102149482418657 is an equidigital number, since it uses as much as digits as its factorization.

102149482418657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 102149482418657 in words is "one hundred two trillion, one hundred forty-nine billion, four hundred eighty-two million, four hundred eighteen thousand, six hundred fifty-seven".