100111110101809 has 2 divisors, whose sum is σ = 100111110101810. Its totient is φ = 100111110101808.

The previous prime is 100111110101797. The next prime is 100111110101813. The reversal of 100111110101809 is 908101011111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56033833080625 + 44077277021184 = 7485575^2 + 6639072^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111110101809 - 2⁵ = 100111110101777 is a prime.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055555050904 + 50055555050905.

It is an arithmetic number, because the mean of its divisors is an integer number (50055555050905).

Almost surely, 2^{100111110101809} is an apocalyptic number.

It is an amenable number.

100111110101809 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111110101809 is an equidigital number, since it uses as much as digits as its factorization.

100111110101809 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 25.

The spelling of 100111110101809 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, eight hundred nine".