11101000100191 has 8 divisors (see below), whose sum is σ = 11123674341584. Its totient is φ = 11078347993920.

The previous prime is 11101000100167. The next prime is 11101000100219. The reversal of 11101000100191 is 19100100010111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11101000100191 - 2⁷ = 11101000100063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101000100101) 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 in 7 ways as a sum of consecutive naturals, for example, 4529550 + ... + 6535963.

It is an arithmetic number, because the mean of its divisors is an integer number (1390459292698).

Almost surely, 2^{11101000100191} is an apocalyptic number.

11101000100191 is a deficient number, since it is larger than the sum of its proper divisors (22674241393).

11101000100191 is a wasteful number, since it uses less digits than its factorization.

11101000100191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067561.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11101000100191 in words is "eleven trillion, one hundred one billion, one hundred thousand, one hundred ninety-one".