101110101011089 has 2 divisors, whose sum is σ = 101110101011090. Its totient is φ = 101110101011088.

The previous prime is 101110101011083. The next prime is 101110101011177. The reversal of 101110101011089 is 980110101011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90534597011089 + 10575504000000 = 9514967^2 + 3252000^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110101011089 - 2³⁹ = 100560345197201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110101011083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555050505544 + 50555050505545.

It is an arithmetic number, because the mean of its divisors is an integer number (50555050505545).

Almost surely, 2^{101110101011089} is an apocalyptic number.

It is an amenable number.

101110101011089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110101011089 is an equidigital number, since it uses as much as digits as its factorization.

101110101011089 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 25.

The spelling of 101110101011089 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, eleven thousand, eighty-nine".