221331211121 has 8 divisors (see below), whose sum is σ = 221538537000. Its totient is φ = 221123943040.

The previous prime is 221331211093. The next prime is 221331211139. The reversal of 221331211121 is 121112133122.

It can be written as a sum of positive squares in 4 ways, for example, as 67011088225 + 154320122896 = 258865^2 + 392836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221331211121 - 2¹⁸ = 221330948977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221331211093 and 221331211102.

It is not an unprimeable number, because it can be changed into a prime (221331211921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12186155 + ... + 12204303.

It is an arithmetic number, because the mean of its divisors is an integer number (27692317125).

Almost surely, 2^221331211121 is an apocalyptic number.

It is an amenable number.

221331211121 is a deficient number, since it is larger than the sum of its proper divisors (207325879).

221331211121 is a wasteful number, since it uses less digits than its factorization.

221331211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28899.

The product of its digits is 144, while the sum is 20.

Adding to 221331211121 its reverse (121112133122), we get a palindrome (342443344243).

The spelling of 221331211121 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty-one".