2011 has 2 divisors, whose sum is σ = 2012. Its totient is φ = 2010.

The previous prime is 2003. The next prime is 2017. The reversal of 2011 is 1102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011 - 2³ = 2003 is a prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (2017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005 + 1006.

It is an arithmetic number, because the mean of its divisors is an integer number (1006).

2011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011 is an equidigital number, since it uses as much as digits as its factorization.

2011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 2011 is about 44.8441746496. The cubic root of 2011 is about 12.6222668331.

Adding to 2011 its reverse (1102), we get a palindrome (3113).

Subtracting from 2011 its reverse (1102), we obtain a palindrome (909).

Multiplying 2011 by its reverse (1102), we get a palindrome (2216122).

It can be divided in two parts, 201 and 1, that added together give a palindrome (202).

The spelling of 2011 in words is "two thousand, eleven", and thus it is an iban number.