102221957857 has 2 divisors, whose sum is σ = 102221957858. Its totient is φ = 102221957856.

The previous prime is 102221957809. The next prime is 102221957869. The reversal of 102221957857 is 758759122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102144799201 + 77158656 = 319601^2 + 8784^2 .

It is an emirp because it is prime and its reverse (758759122201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221957857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102221957857.

It is not a weakly prime, because it can be changed into another prime (102221957897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110978928 + 51110978929.

It is an arithmetic number, because the mean of its divisors is an integer number (51110978929).

Almost surely, 2^102221957857 is an apocalyptic number.

It is an amenable number.

102221957857 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221957857 is an equidigital number, since it uses as much as digits as its factorization.

102221957857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 49.

The spelling of 102221957857 in words is "one hundred two billion, two hundred twenty-one million, nine hundred fifty-seven thousand, eight hundred fifty-seven".