211011112221 has 256 divisors, whose sum is σ = 383142144000. Its totient is φ = 102419251200.

The previous prime is 211011112177. The next prime is 211011112229. The reversal of 211011112221 is 122211110112.

It is a happy number.

It is not a de Polignac number, because 211011112221 - 2²⁶ = 210944003357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211011112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011112229) 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 255 ways as a sum of consecutive naturals, for example, 875564661 + ... + 875564901.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649000).

Almost surely, 2^211011112221 is an apocalyptic number.

211011112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211011112221 is a deficient number, since it is larger than the sum of its proper divisors (172131031779).

211011112221 is a wasteful number, since it uses less digits than its factorization.

211011112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211011112221 its reverse (122211110112), we get a palindrome (333222222333).

The spelling of 211011112221 in words is "two hundred eleven billion, eleven million, one hundred twelve thousand, two hundred twenty-one".