11110009200191 has 16 divisors (see below), whose sum is σ = 12538547019936. Its totient is φ = 9756105600000.

The previous prime is 11110009200163. The next prime is 11110009200193. The reversal of 11110009200191 is 19100290001111.

11110009200191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11110009200191 - 2³⁴ = 11092829331007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110009200191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110009200193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121905770 + ... + 121996871.

It is an arithmetic number, because the mean of its divisors is an integer number (783659188746).

Almost surely, 2^{11110009200191} is an apocalyptic number.

11110009200191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11110009200191 is a deficient number, since it is larger than the sum of its proper divisors (1428537819745).

11110009200191 is a wasteful number, since it uses less digits than its factorization.

11110009200191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243902794.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 11110009200191 in words is "eleven trillion, one hundred ten billion, nine million, two hundred thousand, one hundred ninety-one".