221321032123221 has 16 divisors (see below), whose sum is σ = 327899897718400. Its totient is φ = 147539755524384.

The previous prime is 221321032123183. The next prime is 221321032123229. The reversal of 221321032123221 is 122321230123122.

221321032123221 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 10 + 321 + 2 + 322 + 1 = 666.

It is not a de Polignac number, because 221321032123221 - 2¹¹ = 221321032121173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221321032123229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210555601 + ... + 211604118.

It is an arithmetic number, because the mean of its divisors is an integer number (20493743607400).

Almost surely, 2^{221321032123221} is an apocalyptic number.

It is an amenable number.

221321032123221 is a deficient number, since it is larger than the sum of its proper divisors (106578865595179).

221321032123221 is a wasteful number, since it uses less digits than its factorization.

221321032123221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422179145 (or 422179139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221321032123221 its reverse (122321230123122), we get a palindrome (343642262246343).

The spelling of 221321032123221 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, thirty-two million, one hundred twenty-three thousand, two hundred twenty-one".