100101010011089 has 2 divisors, whose sum is σ = 100101010011090. Its totient is φ = 100101010011088.

The previous prime is 100101010011073. The next prime is 100101010011097. The reversal of 100101010011089 is 980110010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85240293409489 + 14860716601600 = 9232567^2 + 3854960^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101010011089 - 2⁴ = 100101010011073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101010011059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505005544 + 50050505005545.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505005545).

Almost surely, 2^{100101010011089} is an apocalyptic number.

It is an amenable number.

100101010011089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010011089 is an equidigital number, since it uses as much as digits as its factorization.

100101010011089 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 100101010011089 in words is "one hundred trillion, one hundred one billion, ten million, eleven thousand, eighty-nine".