2111 has 2 divisors, whose sum is σ = 2112. Its totient is φ = 2110.

The previous prime is 2099. The next prime is 2113. The reversal of 2111 is 1112.

It is a happy number.

It is a m-pointer prime, because the next prime (2113) can be obtained adding 2111 to its product of digits (2).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2111 - 2^{10} = 1087 is a prime.

Together with 2113, it forms a pair of twin primes.

It is a Chen prime.

2111 is a modest number, since divided by 111 gives 2 as remainder.

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 10 and base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2095 and 2104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055 + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (1056).

2111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111 is an equidigital number, since it uses as much as digits as its factorization.

2111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2, while the sum is 5.

The square root of 2111 is about 45.9456200306. The cubic root of 2111 is about 12.8281120418.

Adding to 2111 its reverse (1112), we get a palindrome (3223).

Subtracting from 2111 its reverse (1112), we obtain a palindrome (999).

Multiplying 2111 by its reverse (1112), we get a palindrome (2347432).

It can be divided in two parts, 211 and 1, that added together give a palindrome (212).

The spelling of 2111 in words is "two thousand, one hundred eleven", and thus it is an iban number.

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