1121211111089 has 2 divisors, whose sum is σ = 1121211111090. Its totient is φ = 1121211111088.

The previous prime is 1121211111079. The next prime is 1121211111091. The reversal of 1121211111089 is 9801111121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 575656038400 + 545555072689 = 758720^2 + 738617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121211111089 - 2²⁴ = 1121194333873 is a prime.

It is a super-2 number, since 2×1121211111089² (a number of 25 digits) contains 22 as substring.

Together with 1121211111091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1121211111029) 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, 560605555544 + 560605555545.

It is an arithmetic number, because the mean of its divisors is an integer number (560605555545).

Almost surely, 2^{1121211111089} is an apocalyptic number.

It is an amenable number.

1121211111089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121211111089 is an equidigital number, since it uses as much as digits as its factorization.

1121211111089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 29.

The spelling of 1121211111089 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, eighty-nine".