2011111 has 2 divisors, whose sum is σ = 2011112. Its totient is φ = 2011110.

The previous prime is 2011099. The next prime is 2011123. The reversal of 2011111 is 1111102.

It is a balanced prime because it is at equal distance from previous prime (2011099) and next prime (2011123).

It is a cyclic number.

It is not a de Polignac number, because 2011111 - 2¹³ = 2002919 is a prime.

2011111 is a modest number, since divided by 1111 gives 201 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2011094 and 2011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005555 + 1005556.

It is an arithmetic number, because the mean of its divisors is an integer number (1005556).

2^2011111 is an apocalyptic number.

2011111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011111 is an equidigital number, since it uses as much as digits as its factorization.

2011111 is an evil number, because the sum of its binary digits is even.

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

The square root of 2011111 is about 1418.1364532371. The cubic root of 2011111 is about 126.2249906348.

Adding to 2011111 its reverse (1111102), we get a palindrome (3122213).

Subtracting from 2011111 its reverse (1111102), we obtain a palindrome (900009).

Multiplying 2011111 by its reverse (1111102), we get a palindrome (2234549454322).

The spelling of 2011111 in words is "two million, eleven thousand, one hundred eleven".