10011111002191 has 16 divisors (see below), whose sum is σ = 10784873700160. Its totient is φ = 9237874314240.

The previous prime is 10011111002173. The next prime is 10011111002219. The reversal of 10011111002191 is 19120011111001.

It is not a de Polignac number, because 10011111002191 - 2⁹ = 10011111001679 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 (10011111002131) 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, 729187615 + ... + 729201343.

It is an arithmetic number, because the mean of its divisors is an integer number (674054606260).

Almost surely, 2^{10011111002191} is an apocalyptic number.

10011111002191 is a deficient number, since it is larger than the sum of its proper divisors (773762697969).

10011111002191 is a wasteful number, since it uses less digits than its factorization.

10011111002191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28786.

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

Adding to 10011111002191 its reverse (19120011111001), we get a palindrome (29131122113192).

The spelling of 10011111002191 in words is "ten trillion, eleven billion, one hundred eleven million, two thousand, one hundred ninety-one".