1001122221257 has 2 divisors, whose sum is σ = 1001122221258. Its totient is φ = 1001122221256.

The previous prime is 1001122221241. The next prime is 1001122221329. The reversal of 1001122221257 is 7521222211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 559487544121 + 441634677136 = 747989^2 + 664556^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122221257 - 2⁴ = 1001122221241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001122221217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500561110628 + 500561110629.

It is an arithmetic number, because the mean of its divisors is an integer number (500561110629).

Almost surely, 2^{1001122221257} is an apocalyptic number.

It is an amenable number.

1001122221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122221257 is an equidigital number, since it uses as much as digits as its factorization.

1001122221257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 1001122221257 its reverse (7521222211001), we get a palindrome (8522344432258).

The spelling of 1001122221257 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred fifty-seven".