102211019957 has 2 divisors, whose sum is σ = 102211019958. Its totient is φ = 102211019956.

The previous prime is 102211019923. The next prime is 102211019959. The reversal of 102211019957 is 759910112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94937318161 + 7273701796 = 308119^2 + 85286^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211019957 - 2¹⁸ = 102210757813 is a prime.

Together with 102211019959, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102211019957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102211019959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105509978 + 51105509979.

It is an arithmetic number, because the mean of its divisors is an integer number (51105509979).

Almost surely, 2^102211019957 is an apocalyptic number.

It is an amenable number.

102211019957 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211019957 is an equidigital number, since it uses as much as digits as its factorization.

102211019957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 38.

The spelling of 102211019957 in words is "one hundred two billion, two hundred eleven million, nineteen thousand, nine hundred fifty-seven".