102221022122257 has 2 divisors, whose sum is σ = 102221022122258. Its totient is φ = 102221022122256.

The previous prime is 102221022122207. The next prime is 102221022122291. The reversal of 102221022122257 is 752221220122201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81429255201856 + 20791766920401 = 9023816^2 + 4559799^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221022122257 - 2³¹ = 102218874638609 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221022122207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110511061128 + 51110511061129.

It is an arithmetic number, because the mean of its divisors is an integer number (51110511061129).

Almost surely, 2^{102221022122257} is an apocalyptic number.

It is an amenable number.

102221022122257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221022122257 is an equidigital number, since it uses as much as digits as its factorization.

102221022122257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 31.

Adding to 102221022122257 its reverse (752221220122201), we get a palindrome (854442242244458).

The spelling of 102221022122257 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, two hundred fifty-seven".