1001111100191 has 16 divisors (see below), whose sum is σ = 1028503111680. Its totient is φ = 974073088800.

The previous prime is 1001111100149. The next prime is 1001111100221. The reversal of 1001111100191 is 1910011111001.

It is a cyclic number.

It is not a de Polignac number, because 1001111100191 - 2³⁴ = 983931231007 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 (1001111102191) 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, 18845630 + ... + 18898676.

It is an arithmetic number, because the mean of its divisors is an integer number (64281444480).

Almost surely, 2^{1001111100191} is an apocalyptic number.

1001111100191 is a deficient number, since it is larger than the sum of its proper divisors (27392011489).

1001111100191 is a wasteful number, since it uses less digits than its factorization.

1001111100191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56374.

The product of its (nonzero) digits is 9, while the sum is 17.

Adding to 1001111100191 its reverse (1910011111001), we get a palindrome (2911122211192).

The spelling of 1001111100191 in words is "one trillion, one billion, one hundred eleven million, one hundred thousand, one hundred ninety-one".