111000121011089 has 2 divisors, whose sum is σ = 111000121011090. Its totient is φ = 111000121011088.

The previous prime is 111000121011071. The next prime is 111000121011161. The reversal of 111000121011089 is 980110121000111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73187460371089 + 37812660640000 = 8554967^2 + 6149200^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000121011089 - 2³⁶ = 110931401534353 is a prime.

It is not a weakly prime, because it can be changed into another prime (111000121011049) 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, 55500060505544 + 55500060505545.

It is an arithmetic number, because the mean of its divisors is an integer number (55500060505545).

Almost surely, 2^{111000121011089} is an apocalyptic number.

It is an amenable number.

111000121011089 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000121011089 is an equidigital number, since it uses as much as digits as its factorization.

111000121011089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 26.

The spelling of 111000121011089 in words is "one hundred eleven trillion, one hundred twenty-one million, eleven thousand, eighty-nine".