101010111089 has 2 divisors, whose sum is σ = 101010111090. Its totient is φ = 101010111088.

The previous prime is 101010111077. The next prime is 101010111107. The reversal of 101010111089 is 980111010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97528167025 + 3481944064 = 312295^2 + 59008^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111089 - 2²⁴ = 100993333873 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101010113089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055544 + 50505055545.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055545).

Almost surely, 2^101010111089 is an apocalyptic number.

It is an amenable number.

101010111089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111089 is an equidigital number, since it uses as much as digits as its factorization.

101010111089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 101010111089 in words is "one hundred one billion, ten million, one hundred eleven thousand, eighty-nine".