1102112011191 has 16 divisors (see below), whose sum is σ = 1526930966528. Its totient is φ = 706331124000.

The previous prime is 1102112011177. The next prime is 1102112011199. The reversal of 1102112011191 is 1911102112011.

It is a happy number.

It is not a de Polignac number, because 1102112011191 - 2⁹ = 1102112010679 is a prime.

It is a super-2 number, since 2×1102112011191² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102112011199) 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 15 ways as a sum of consecutive naturals, for example, 39226576 + ... + 39254661.

It is an arithmetic number, because the mean of its divisors is an integer number (95433185408).

Almost surely, 2^{1102112011191} is an apocalyptic number.

1102112011191 is a deficient number, since it is larger than the sum of its proper divisors (424818955337).

1102112011191 is a wasteful number, since it uses less digits than its factorization.

1102112011191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78481422.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 1102112011191 in words is "one trillion, one hundred two billion, one hundred twelve million, eleven thousand, one hundred ninety-one".