221323214022241 has 8 divisors (see below), whose sum is σ = 221344633553384. Its totient is φ = 221301795461760.

The previous prime is 221323214022233. The next prime is 221323214022259. The reversal of 221323214022241 is 142220412323122.

It can be written as a sum of positive squares in 4 ways, for example, as 42594768225 + 221280619254016 = 206385^2 + 14875504^2 .

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 221323214022241 - 2³ = 221323214022233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221323214622241) 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 7 ways as a sum of consecutive naturals, for example, 505624711 + ... + 506062243.

It is an arithmetic number, because the mean of its divisors is an integer number (27668079194173).

Almost surely, 2^{221323214022241} is an apocalyptic number.

It is an amenable number.

221323214022241 is a deficient number, since it is larger than the sum of its proper divisors (21419531143).

221323214022241 is a wasteful number, since it uses less digits than its factorization.

221323214022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485331.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 221323214022241 its reverse (142220412323122), we get a palindrome (363543626345363).

The spelling of 221323214022241 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, two hundred fourteen million, twenty-two thousand, two hundred forty-one".