112111 has 2 divisors, whose sum is σ = 112112. Its totient is φ = 112110.

The previous prime is 112103. The next prime is 112121. The reversal of 112111 is 111211.

It is a weak prime.

It is an emirp because it is prime and its reverse (111211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112111 - 2³ = 112103 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 112094 and 112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055 + 56056.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

2¹¹²¹¹¹ is an apocalyptic number.

112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111 is an equidigital number, since it uses as much as digits as its factorization.

112111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2, while the sum is 7.

The square root of 112111 is about 334.8298075142. The cubic root of 112111 is about 48.2187641800.

Adding to 112111 its reverse (111211), we get a palindrome (223322).

Subtracting from 112111 its reverse (111211), we obtain a square (900 = 30²).

Multiplying 112111 by its reverse (111211), we get a palindrome (12467976421).

The spelling of 112111 in words is "one hundred twelve thousand, one hundred eleven", and thus it is an iban number.