211211101201221 has 64 divisors (see below), whose sum is σ = 349305061248000. Its totient is φ = 125024320290240.

The previous prime is 211211101201211. The next prime is 211211101201223. The reversal of 211211101201221 is 122102101112112.

It is a happy number.

211211101201221 is a `hidden beast` number, since 21 + 1 + 211 + 10 + 1 + 201 + 221 = 666.

It is not a de Polignac number, because 211211101201221 - 2⁶ = 211211101201157 is a prime.

It is a super-2 number, since 2×211211101201221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211101201194 and 211211101201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211101201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299242395 + ... + 299947383.

It is an arithmetic number, because the mean of its divisors is an integer number (5457891582000).

Almost surely, 2^{211211101201221} is an apocalyptic number.

It is an amenable number.

211211101201221 is a deficient number, since it is larger than the sum of its proper divisors (138093960046779).

211211101201221 is a wasteful number, since it uses less digits than its factorization.

211211101201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728511 (or 728505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211211101201221 its reverse (122102101112112), we get a palindrome (333313202313333).

The spelling of 211211101201221 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, two hundred one thousand, two hundred twenty-one".