2112011221 has 2 divisors, whose sum is σ = 2112011222. Its totient is φ = 2112011220.

The previous prime is 2112011219. The next prime is 2112011273. The reversal of 2112011221 is 1221102112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1502415121 + 609596100 = 38761^2 + 24690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112011221 - 2¹ = 2112011219 is a prime.

It is a super-3 number, since 3×2112011221³ (a number of 29 digits) contains 333 as substring.

Together with 2112011219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112011281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005610 + 1056005611.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005611).

Almost surely, 2^2112011221 is an apocalyptic number.

It is an amenable number.

2112011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112011221 is an equidigital number, since it uses as much as digits as its factorization.

2112011221 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2112011221 is about 45956.6232549782. The cubic root of 2112011221 is about 1283.0160042003.

Adding to 2112011221 its reverse (1221102112), we get a palindrome (3333113333).

The spelling of 2112011221 in words is "two billion, one hundred twelve million, eleven thousand, two hundred twenty-one".