211000221211221 has 32 divisors (see below), whose sum is σ = 336727284270720. Its totient is φ = 129812056019712.

The previous prime is 211000221211183. The next prime is 211000221211249. The reversal of 211000221211221 is 122112122000112.

211000221211221 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 0 + 221 + 211 + 221 = 666.

It is not a de Polignac number, because 211000221211221 - 2⁷ = 211000221211093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211000221211194 and 211000221211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000221211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77912031 + ... + 80574716.

It is an arithmetic number, because the mean of its divisors is an integer number (10522727633460).

Almost surely, 2^{211000221211221} is an apocalyptic number.

It is an amenable number.

211000221211221 is a deficient number, since it is larger than the sum of its proper divisors (125727063059499).

211000221211221 is a wasteful number, since it uses less digits than its factorization.

211000221211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158490562 (or 158490556 counting only the distinct ones).

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

Adding to 211000221211221 its reverse (122112122000112), we get a palindrome (333112343211333).

The spelling of 211000221211221 in words is "two hundred eleven trillion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".