221133412224321 has 8 divisors (see below), whose sum is σ = 298997289768384. Its totient is φ = 145345904748240.

The previous prime is 221133412224311. The next prime is 221133412224349. The reversal of 221133412224321 is 123422214331122.

221133412224321 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 221133412224321 - 2⁹ = 221133412223809 is a prime.

It is a super-2 number, since 2×221133412224321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221133412224311) 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, 519092516746 + ... + 519092517171.

It is an arithmetic number, because the mean of its divisors is an integer number (37374661221048).

Almost surely, 2^{221133412224321} is an apocalyptic number.

It is an amenable number.

221133412224321 is a deficient number, since it is larger than the sum of its proper divisors (77863877544063).

221133412224321 is a wasteful number, since it uses less digits than its factorization.

221133412224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038185033991.

The product of its digits is 27648, while the sum is 33.

Adding to 221133412224321 its reverse (123422214331122), we get a palindrome (344555626555443).

The spelling of 221133412224321 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, four hundred twelve million, two hundred twenty-four thousand, three hundred twenty-one".