1001111110091 has 2 divisors, whose sum is σ = 1001111110092. Its totient is φ = 1001111110090.

The previous prime is 1001111110067. The next prime is 1001111110099. The reversal of 1001111110091 is 1900111111001.

It is a strong prime.

It is an emirp because it is prime and its reverse (1900111111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001111110091 - 2³⁴ = 983931240907 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001111110099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500555555045 + 500555555046.

It is an arithmetic number, because the mean of its divisors is an integer number (500555555046).

Almost surely, 2^{1001111110091} is an apocalyptic number.

1001111110091 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111110091 is an equidigital number, since it uses as much as digits as its factorization.

1001111110091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 17.

Adding to 1001111110091 its reverse (1900111111001), we get a palindrome (2901222221092).

The spelling of 1001111110091 in words is "one trillion, one billion, one hundred eleven million, one hundred ten thousand, ninety-one".