2211110212221 has 40 divisors (see below), whose sum is σ = 3324534263864. Its totient is φ = 1464490782720.

The previous prime is 2211110212193. The next prime is 2211110212273. The reversal of 2211110212221 is 1222120111122.

2211110212221 is a `hidden beast` number, since 221 + 1 + 1 + 10 + 212 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4441556025 + 2206668656196 = 66645^2 + 1485486^2 .

It is not a de Polignac number, because 2211110212221 - 2⁷ = 2211110212093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2211110212194 and 2211110212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211110212121) 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 in 39 ways as a sum of consecutive naturals, for example, 11740761 + ... + 11927601.

Almost surely, 2^{2211110212221} is an apocalyptic number.

It is an amenable number.

2211110212221 is a deficient number, since it is larger than the sum of its proper divisors (1113424051643).

2211110212221 is a wasteful number, since it uses less digits than its factorization.

2211110212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187803 (or 187794 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2211110212221 its reverse (1222120111122), we get a palindrome (3433230323343).

The spelling of 2211110212221 in words is "two trillion, two hundred eleven billion, one hundred ten million, two hundred twelve thousand, two hundred twenty-one".