102220002122057 has 2 divisors, whose sum is σ = 102220002122058. Its totient is φ = 102220002122056.

The previous prime is 102220002121949. The next prime is 102220002122081. The reversal of 102220002122057 is 750221200022201.

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., 59884366773001 + 42335635349056 = 7738499^2 + 6506584^2 .

It is a cyclic number.

It is not a de Polignac number, because 102220002122057 - 2¹⁶ = 102220002056521 is a prime.

It is a super-2 number, since 2×102220002122057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102220002122657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110001061028 + 51110001061029.

It is an arithmetic number, because the mean of its divisors is an integer number (51110001061029).

Almost surely, 2^{102220002122057} is an apocalyptic number.

It is an amenable number.

102220002122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220002122057 is an equidigital number, since it uses as much as digits as its factorization.

102220002122057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 102220002122057 its reverse (750221200022201), we get a palindrome (852441202144258).

The spelling of 102220002122057 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred twenty-two thousand, fifty-seven".