221056354121321 has 8 divisors (see below), whose sum is σ = 240385606072200. Its totient is φ = 202429984059648.

The previous prime is 221056354121263. The next prime is 221056354121363. The reversal of 221056354121321 is 123121453650122.

221056354121321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170309808078400 + 50746546042921 = 13050280^2 + 7123661^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221056354121321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221056354127321) 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, 175720471646 + ... + 175720472903.

It is an arithmetic number, because the mean of its divisors is an integer number (30048200759025).

Almost surely, 2^{221056354121321} is an apocalyptic number.

It is an amenable number.

221056354121321 is a deficient number, since it is larger than the sum of its proper divisors (19329251950879).

221056354121321 is a wasteful number, since it uses less digits than its factorization.

221056354121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351440944603.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 221056354121321 in words is "two hundred twenty-one trillion, fifty-six billion, three hundred fifty-four million, one hundred twenty-one thousand, three hundred twenty-one".