211221222122211 has 16 divisors (see below), whose sum is σ = 322505921760000. Its totient is φ = 120455961765408.

The previous prime is 211221222122201. The next prime is 211221222122213. The reversal of 211221222122211 is 112221222122112.

It is not a de Polignac number, because 211221222122211 - 2¹⁵ = 211221222089443 is a prime.

It is a super-2 number, since 2×211221222122211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221222122213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10078299576 + ... + 10078320533.

It is an arithmetic number, because the mean of its divisors is an integer number (20156620110000).

Almost surely, 2^{211221222122211} is an apocalyptic number.

211221222122211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211221222122211 is a deficient number, since it is larger than the sum of its proper divisors (111284699637789).

211221222122211 is a wasteful number, since it uses less digits than its factorization.

211221222122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156620618.

The product of its digits is 512, while the sum is 24.

Adding to 211221222122211 its reverse (112221222122112), we get a palindrome (323442444244323).

Subtracting from 211221222122211 its reverse (112221222122112), we obtain a palindrome (99000000000099).

The spelling of 211221222122211 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".