2112112191 has 16 divisors (see below), whose sum is σ = 3231819008. Its totient is φ = 1201910400.

The previous prime is 2112112117. The next prime is 2112112199. The reversal of 2112112191 is 1912112112.

It is not a de Polignac number, because 2112112191 - 2¹⁹ = 2111587903 is a prime.

It is a super-2 number, since 2×2112112191² = 8922035814741640962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112199) 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, 203605 + ... + 213726.

It is an arithmetic number, because the mean of its divisors is an integer number (201988688).

Almost surely, 2^2112112191 is an apocalyptic number.

2112112191 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2112112191 is a deficient number, since it is larger than the sum of its proper divisors (1119706817).

2112112191 is a wasteful number, since it uses less digits than its factorization.

2112112191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417582.

The product of its digits is 72, while the sum is 21.

The square root of 2112112191 is about 45957.7217777383. The cubic root of 2112112191 is about 1283.0364498084.

The spelling of 2112112191 in words is "two billion, one hundred twelve million, one hundred twelve thousand, one hundred ninety-one".