2111041 has 2 divisors, whose sum is σ = 2111042. Its totient is φ = 2111040.

The previous prime is 2111029. The next prime is 2111051. The reversal of 2111041 is 1401112.

It is an a-pointer prime, because the next prime (2111051) can be obtained adding 2111041 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1430416 + 680625 = 1196^2 + 825^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111041 - 2⁹ = 2110529 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111051) 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, 1055520 + 1055521.

It is an arithmetic number, because the mean of its divisors is an integer number (1055521).

2^2111041 is an apocalyptic number.

It is an amenable number.

2111041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111041 is an equidigital number, since it uses as much as digits as its factorization.

2111041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111041 is about 1452.9421874252. The cubic root of 2111041 is about 128.2819509074.

Adding to 2111041 its reverse (1401112), we get a palindrome (3512153).

The spelling of 2111041 in words is "two million, one hundred eleven thousand, forty-one".