221005205352321 has 16 divisors (see below), whose sum is σ = 317341121704320. Its totient is φ = 136003068714240.

The previous prime is 221005205352319. The next prime is 221005205352359. The reversal of 221005205352321 is 123253502500122.

It is not a de Polignac number, because 221005205352321 - 2¹ = 221005205352319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221005205352221) 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 15 ways as a sum of consecutive naturals, for example, 49433865 + ... + 53718873.

It is an arithmetic number, because the mean of its divisors is an integer number (19833820106520).

Almost surely, 2^{221005205352321} is an apocalyptic number.

It is an amenable number.

221005205352321 is a deficient number, since it is larger than the sum of its proper divisors (96335916351999).

221005205352321 is a wasteful number, since it uses less digits than its factorization.

221005205352321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607496.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 221005205352321 its reverse (123253502500122), we get a palindrome (344258707852443).

The spelling of 221005205352321 in words is "two hundred twenty-one trillion, five billion, two hundred five million, three hundred fifty-two thousand, three hundred twenty-one".