1000122321257 has 2 divisors, whose sum is σ = 1000122321258. Its totient is φ = 1000122321256.

The previous prime is 1000122321223. The next prime is 1000122321269. The reversal of 1000122321257 is 7521232210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965009557801 + 35112763456 = 982349^2 + 187384^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000122321257 - 2⁸ = 1000122321001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000122321287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500061160628 + 500061160629.

It is an arithmetic number, because the mean of its divisors is an integer number (500061160629).

Almost surely, 2^{1000122321257} is an apocalyptic number.

It is an amenable number.

1000122321257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122321257 is an equidigital number, since it uses as much as digits as its factorization.

1000122321257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 1000122321257 its reverse (7521232210001), we get a palindrome (8521354531258).

The spelling of 1000122321257 in words is "one trillion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred fifty-seven".