1122211113241 has 2 divisors, whose sum is σ = 1122211113242. Its totient is φ = 1122211113240.

The previous prime is 1122211113193. The next prime is 1122211113253. The reversal of 1122211113241 is 1423111122211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000992246016 + 121218867225 = 1000496^2 + 348165^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122211113241 - 2⁷ = 1122211113113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1122211119241) 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, 561105556620 + 561105556621.

It is an arithmetic number, because the mean of its divisors is an integer number (561105556621).

Almost surely, 2^{1122211113241} is an apocalyptic number.

It is an amenable number.

1122211113241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122211113241 is an equidigital number, since it uses as much as digits as its factorization.

1122211113241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 22.

Adding to 1122211113241 its reverse (1423111122211), we get a palindrome (2545322235452).

The spelling of 1122211113241 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred thirteen thousand, two hundred forty-one".