100110001001809 has 2 divisors, whose sum is σ = 100110001001810. Its totient is φ = 100110001001808.

The previous prime is 100110001001719. The next prime is 100110001001819. The reversal of 100110001001809 is 908100100011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94107363801025 + 6002637200784 = 9700895^2 + 2450028^2 .

It is an emirp because it is prime and its reverse (908100100011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110001001809 - 2³⁵ = 100075641263441 is a prime.

It is a super-3 number, since 3×100110001001809³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100110001001809.

It is not a weakly prime, because it can be changed into another prime (100110001001819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000500904 + 50055000500905.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000500905).

Almost surely, 2^{100110001001809} is an apocalyptic number.

It is an amenable number.

100110001001809 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001001809 is an equidigital number, since it uses as much as digits as its factorization.

100110001001809 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 100110001001809 in words is "one hundred trillion, one hundred ten billion, one million, one thousand, eight hundred nine".