1011101091809 has 2 divisors, whose sum is σ = 1011101091810. Its totient is φ = 1011101091808.

The previous prime is 1011101091779. The next prime is 1011101091811. The reversal of 1011101091809 is 9081901011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 986088720400 + 25012371409 = 993020^2 + 158153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011101091809 is a prime.

It is a Sophie Germain prime.

Together with 1011101091811, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1011101091859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550545904 + 505550545905.

It is an arithmetic number, because the mean of its divisors is an integer number (505550545905).

Almost surely, 2^{1011101091809} is an apocalyptic number.

It is an amenable number.

1011101091809 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101091809 is an equidigital number, since it uses as much as digits as its factorization.

1011101091809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 32.

The spelling of 1011101091809 in words is "one trillion, eleven billion, one hundred one million, ninety-one thousand, eight hundred nine".