211301311221 has 96 divisors (see below), whose sum is σ = 410429859840. Its totient is φ = 101166710400.

The previous prime is 211301311187. The next prime is 211301311241. The reversal of 211301311221 is 122113103112.

211301311221 is a `hidden beast` number, since 2 + 1 + 130 + 1 + 311 + 221 = 666.

It is not a de Polignac number, because 211301311221 - 2⁹ = 211301310709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211301311194 and 211301311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211301311241) 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 95 ways as a sum of consecutive naturals, for example, 5919136 + ... + 5954726.

It is an arithmetic number, because the mean of its divisors is an integer number (4275311040).

Almost surely, 2^211301311221 is an apocalyptic number.

211301311221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211301311221 is a deficient number, since it is larger than the sum of its proper divisors (199128548619).

211301311221 is a wasteful number, since it uses less digits than its factorization.

211301311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36287 (or 36284 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211301311221 its reverse (122113103112), we get a palindrome (333414414333).

The spelling of 211301311221 in words is "two hundred eleven billion, three hundred one million, three hundred eleven thousand, two hundred twenty-one".