100111000101089 has 2 divisors, whose sum is σ = 100111000101090. Its totient is φ = 100111000101088.

The previous prime is 100111000101037. The next prime is 100111000101143. The reversal of 100111000101089 is 980101000111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92613041803489 + 7497958297600 = 9623567^2 + 2738240^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111000101089 - 2³⁶ = 100042280624353 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111000101689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500050544 + 50055500050545.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500050545).

Almost surely, 2^{100111000101089} is an apocalyptic number.

It is an amenable number.

100111000101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000101089 is an equidigital number, since it uses as much as digits as its factorization.

100111000101089 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 23.

The spelling of 100111000101089 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, eighty-nine".