10001110101089 has 2 divisors, whose sum is σ = 10001110101090. Its totient is φ = 10001110101088.

The previous prime is 10001110101083. The next prime is 10001110101091. The reversal of 10001110101089 is 98010101110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5481999428689 + 4519110672400 = 2341367^2 + 2125820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001110101089 - 2⁸ = 10001110100833 is a prime.

Together with 10001110101091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10001110101083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000555050544 + 5000555050545.

It is an arithmetic number, because the mean of its divisors is an integer number (5000555050545).

Almost surely, 2^{10001110101089} is an apocalyptic number.

It is an amenable number.

10001110101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001110101089 is an equidigital number, since it uses as much as digits as its factorization.

10001110101089 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 10001110101089 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, eighty-nine".