100110100100089 has 2 divisors, whose sum is σ = 100110100100090. Its totient is φ = 100110100100088.

The previous prime is 100110100100063. The next prime is 100110100100117. The reversal of 100110100100089 is 980001001011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79494913344064 + 20615186756025 = 8915992^2 + 4540395^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110100100089 - 2⁴⁵ = 64925728011257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110100100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050050044 + 50055050050045.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050050045).

Almost surely, 2^{100110100100089} is an apocalyptic number.

It is an amenable number.

100110100100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100100089 is an equidigital number, since it uses as much as digits as its factorization.

100110100100089 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 22.

The spelling of 100110100100089 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred thousand, eighty-nine".