2011112221 has 2 divisors, whose sum is σ = 2011112222. Its totient is φ = 2011112220.

The previous prime is 2011112167. The next prime is 2011112227. The reversal of 2011112221 is 1222111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1825852900 + 185259321 = 42730^2 + 13611^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011112221 - 2²⁵ = 1977557789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011112227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005556110 + 1005556111.

It is an arithmetic number, because the mean of its divisors is an integer number (1005556111).

Almost surely, 2^2011112221 is an apocalyptic number.

It is an amenable number.

2011112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011112221 is an equidigital number, since it uses as much as digits as its factorization.

2011112221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2011112221 is about 44845.4258648527. The cubic root of 2011112221 is about 1262.2501617966.

Adding to 2011112221 its reverse (1222111102), we get a palindrome (3233223323).

The spelling of 2011112221 in words is "two billion, eleven million, one hundred twelve thousand, two hundred twenty-one".