2011005221 has 2 divisors, whose sum is σ = 2011005222. Its totient is φ = 2011005220.

The previous prime is 2011005181. The next prime is 2011005229. The reversal of 2011005221 is 1225001102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1262380900 + 748624321 = 35530^2 + 27361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011005221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011005196 and 2011005205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011005229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005502610 + 1005502611.

It is an arithmetic number, because the mean of its divisors is an integer number (1005502611).

Almost surely, 2^2011005221 is an apocalyptic number.

It is an amenable number.

2011005221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011005221 is an equidigital number, since it uses as much as digits as its factorization.

2011005221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2011005221 is about 44844.2328622087. The cubic root of 2011005221 is about 1262.2277756494.

Adding to 2011005221 its reverse (1225001102), we get a palindrome (3236006323).

The spelling of 2011005221 in words is "two billion, eleven million, five thousand, two hundred twenty-one".