11010101120191 has 2 divisors, whose sum is σ = 11010101120192. Its totient is φ = 11010101120190.

The previous prime is 11010101120167. The next prime is 11010101120209. The reversal of 11010101120191 is 19102110101011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 11010101120191 - 2¹⁷ = 11010100989119 is a prime.

It is a super-2 number, since 2×11010101120191² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010101120101) 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, 5505050560095 + 5505050560096.

It is an arithmetic number, because the mean of its divisors is an integer number (5505050560096).

Almost surely, 2^{11010101120191} is an apocalyptic number.

11010101120191 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010101120191 is an equidigital number, since it uses as much as digits as its factorization.

11010101120191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 11010101120191 in words is "eleven trillion, ten billion, one hundred one million, one hundred twenty thousand, one hundred ninety-one".