1100222122057 has 2 divisors, whose sum is σ = 1100222122058. Its totient is φ = 1100222122056.

The previous prime is 1100222122009. The next prime is 1100222122093. The reversal of 1100222122057 is 7502212220011.

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., 1057285723536 + 42936398521 = 1028244^2 + 207211^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100222122057 - 2¹⁵ = 1100222089289 is a prime.

It is a super-2 number, since 2×1100222122057² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100222123057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550111061028 + 550111061029.

It is an arithmetic number, because the mean of its divisors is an integer number (550111061029).

Almost surely, 2^{1100222122057} is an apocalyptic number.

It is an amenable number.

1100222122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100222122057 is an equidigital number, since it uses as much as digits as its factorization.

1100222122057 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 25.

Adding to 1100222122057 its reverse (7502212220011), we get a palindrome (8602434342068).

The spelling of 1100222122057 in words is "one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, fifty-seven".