10111001100091 has 2 divisors, whose sum is σ = 10111001100092. Its totient is φ = 10111001100090.

The previous prime is 10111001100077. The next prime is 10111001100133. The reversal of 10111001100091 is 19000110011101.

It is a weak prime.

It is an emirp because it is prime and its reverse (19000110011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111001100091 - 2¹³ = 10111001091899 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111001100191) 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, 5055500550045 + 5055500550046.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500550046).

Almost surely, 2^{10111001100091} is an apocalyptic number.

10111001100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001100091 is an equidigital number, since it uses as much as digits as its factorization.

10111001100091 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 16.

Adding to 10111001100091 its reverse (19000110011101), we get a palindrome (29111111111192).

The spelling of 10111001100091 in words is "ten trillion, one hundred eleven billion, one million, one hundred thousand, ninety-one".