1001122211057 has 2 divisors, whose sum is σ = 1001122211058. Its totient is φ = 1001122211056.

The previous prime is 1001122211039. The next prime is 1001122211077. The reversal of 1001122211057 is 7501122211001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 818882016241 + 182240194816 = 904921^2 + 426896^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001122211057 - 2¹² = 1001122206961 is a prime.

It is a super-3 number, since 3×1001122211057³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1001122211027) 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, 500561105528 + 500561105529.

It is an arithmetic number, because the mean of its divisors is an integer number (500561105529).

Almost surely, 2^{1001122211057} is an apocalyptic number.

It is an amenable number.

1001122211057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001122211057 is an equidigital number, since it uses as much as digits as its factorization.

1001122211057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 1001122211057 its reverse (7501122211001), we get a palindrome (8502244422058).

The spelling of 1001122211057 in words is "one trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, fifty-seven".