221321204104 has 256 divisors, whose sum is σ = 582500782080. Its totient is φ = 75990942720.

The previous prime is 221321204101. The next prime is 221321204107. The reversal of 221321204104 is 401402123122.

It is an interprime number because it is at equal distance from previous prime (221321204101) and next prime (221321204107).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (221321204101) 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 63 ways as a sum of consecutive naturals, for example, 152319442 + ... + 152320894.

It is an arithmetic number, because the mean of its divisors is an integer number (2275393680).

Almost surely, 2^221321204104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221321204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291250391040).

221321204104 is an abundant number, since it is smaller than the sum of its proper divisors (361179577976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221321204104 is a wasteful number, since it uses less digits than its factorization.

221321204104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 221321204104 its reverse (401402123122), we get a palindrome (622723327226).

The spelling of 221321204104 in words is "two hundred twenty-one billion, three hundred twenty-one million, two hundred four thousand, one hundred four".