101011110101089 has 2 divisors, whose sum is σ = 101011110101090. Its totient is φ = 101011110101088.

The previous prime is 101011110101039. The next prime is 101011110101129. The reversal of 101011110101089 is 980101011110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70210741264225 + 30800368836864 = 8379185^2 + 5549808^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011110101089 - 2³³ = 101002520166497 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011110101029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555050544 + 50505555050545.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555050545).

Almost surely, 2^{101011110101089} is an apocalyptic number.

It is an amenable number.

101011110101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011110101089 is an equidigital number, since it uses as much as digits as its factorization.

101011110101089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 25.

The spelling of 101011110101089 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred one thousand, eighty-nine".