11010101100091 has 2 divisors, whose sum is σ = 11010101100092. Its totient is φ = 11010101100090.

The previous prime is 11010101100083. The next prime is 11010101100107. The reversal of 11010101100091 is 19000110101011.

It is an a-pointer prime, because the next prime (11010101100107) can be obtained adding 11010101100091 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11010101100091 - 2³ = 11010101100083 is a prime.

It is not a weakly prime, because it can be changed into another prime (11010101100071) 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, 5505050550045 + 5505050550046.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050550046).

Almost surely, 2^{11010101100091} is an apocalyptic number.

11010101100091 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101100091 is an equidigital number, since it uses as much as digits as its factorization.

11010101100091 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.

It can be divided in two parts, 11010 and 101100091, that added together give a palindrome (101111101).

The spelling of 11010101100091 in words is "eleven trillion, ten billion, one hundred one million, one hundred thousand, ninety-one".