11012111112089 has 2 divisors, whose sum is σ = 11012111112090. Its totient is φ = 11012111112088.

The previous prime is 11012111112047. The next prime is 11012111112131. The reversal of 11012111112089 is 98021111121011.

It is a balanced prime because it is at equal distance from previous prime (11012111112047) and next prime (11012111112131).

It can be written as a sum of positive squares in only one way, i.e., 8968377825625 + 2043733286464 = 2994725^2 + 1429592^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012111112089 - 2²⁸ = 11011842676633 is a prime.

It is a super-2 number, since 2×11012111112089² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11012111142089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5506055556044 + 5506055556045.

It is an arithmetic number, because the mean of its divisors is an integer number (5506055556045).

Almost surely, 2^{11012111112089} is an apocalyptic number.

It is an amenable number.

11012111112089 is a deficient number, since it is larger than the sum of its proper divisors (1).

11012111112089 is an equidigital number, since it uses as much as digits as its factorization.

11012111112089 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 11012111112089 in words is "eleven trillion, twelve billion, one hundred eleven million, one hundred twelve thousand, eighty-nine".