211000212211221 has 48 divisors (see below), whose sum is σ = 311936699483136. Its totient is φ = 137386963703808.

The previous prime is 211000212211199. The next prime is 211000212211223. The reversal of 211000212211221 is 122112212000112.

211000212211221 is a `hidden beast` number, since 21 + 1 + 0 + 0 + 0 + 212 + 211 + 221 = 666.

It is not a de Polignac number, because 211000212211221 - 2¹⁸ = 211000211949077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211000212211194 and 211000212211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000212211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2962077621 + ... + 2962148853.

It is an arithmetic number, because the mean of its divisors is an integer number (6498681239232).

Almost surely, 2^{211000212211221} is an apocalyptic number.

It is an amenable number.

211000212211221 is a deficient number, since it is larger than the sum of its proper divisors (100936487271915).

211000212211221 is a wasteful number, since it uses less digits than its factorization.

211000212211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99362 (or 99359 counting only the distinct ones).

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

Adding to 211000212211221 its reverse (122112212000112), we get a palindrome (333112424211333).

The spelling of 211000212211221 in words is "two hundred eleven trillion, two hundred twelve million, two hundred eleven thousand, two hundred twenty-one".