10011111100091 has 2 divisors, whose sum is σ = 10011111100092. Its totient is φ = 10011111100090.

The previous prime is 10011111099991. The next prime is 10011111100103. The reversal of 10011111100091 is 19000111111001.

It is a strong prime.

It is an emirp because it is prime and its reverse (19000111111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011111100091 - 2¹⁸ = 10011110837947 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011111108091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555550045 + 5005555550046.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555550046).

Almost surely, 2^{10011111100091} is an apocalyptic number.

10011111100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111100091 is an equidigital number, since it uses as much as digits as its factorization.

10011111100091 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10011111100091 its reverse (19000111111001), we get a palindrome (29011222211092).

The spelling of 10011111100091 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred thousand, ninety-one".