101011011000089 has 2 divisors, whose sum is σ = 101011011000090. Its totient is φ = 101011011000088.

The previous prime is 101011011000079. The next prime is 101011011000091. The reversal of 101011011000089 is 980000110110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82928487954064 + 18082523046025 = 9106508^2 + 4252355^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011011000089 - 2²⁰ = 101011009951513 is a prime.

It is a Sophie Germain prime.

Together with 101011011000091, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101011011000079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505505500044 + 50505505500045.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505500045).

Almost surely, 2^{101011011000089} is an apocalyptic number.

It is an amenable number.

101011011000089 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011011000089 is an equidigital number, since it uses as much as digits as its factorization.

101011011000089 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 23.

The spelling of 101011011000089 in words is "one hundred one trillion, eleven billion, eleven million, eighty-nine", and thus it is an aban number.