1002220310257 has 2 divisors, whose sum is σ = 1002220310258. Its totient is φ = 1002220310256.

The previous prime is 1002220310209. The next prime is 1002220310291. The reversal of 1002220310257 is 7520130222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 505828198656 + 496392111601 = 711216^2 + 704551^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002220310257 - 2¹⁵ = 1002220277489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002220310297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501110155128 + 501110155129.

It is an arithmetic number, because the mean of its divisors is an integer number (501110155129).

Almost surely, 2^{1002220310257} is an apocalyptic number.

It is an amenable number.

1002220310257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002220310257 is an equidigital number, since it uses as much as digits as its factorization.

1002220310257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 25.

Adding to 1002220310257 its reverse (7520130222001), we get a palindrome (8522350532258).

The spelling of 1002220310257 in words is "one trillion, two billion, two hundred twenty million, three hundred ten thousand, two hundred fifty-seven".