112191101 has 16 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 100476480.

The previous prime is 112191083. The next prime is 112191113. The reversal of 112191101 is 101191211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112191101 - 2²⁶ = 45082237 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 112191101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112191161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288215 + ... + 288603.

It is an arithmetic number, because the mean of its divisors is an integer number (7764120).

Almost surely, 2^112191101 is an apocalyptic number.

112191101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112191101 is a deficient number, since it is larger than the sum of its proper divisors (12034819).

112191101 is a wasteful number, since it uses less digits than its factorization.

112191101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 18, while the sum is 17.

The square root of 112191101 is about 10592.0300698214. The cubic root of 112191101 is about 482.3024521733.

The spelling of 112191101 in words is "one hundred twelve million, one hundred ninety-one thousand, one hundred one".