221234413221 has 24 divisors (see below), whose sum is σ = 343124144064. Its totient is φ = 136858619520.

The previous prime is 221234413217. The next prime is 221234413249. The reversal of 221234413221 is 122314432122.

221234413221 is a `hidden beast` number, since 2 + 2 + 1 + 23 + 4 + 413 + 221 = 666.

221234413221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221234413221 - 2² = 221234413217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221234413271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10172071 + ... + 10193796.

It is an arithmetic number, because the mean of its divisors is an integer number (14296839336).

Almost surely, 2^221234413221 is an apocalyptic number.

It is an amenable number.

221234413221 is a deficient number, since it is larger than the sum of its proper divisors (121889730843).

221234413221 is a wasteful number, since it uses less digits than its factorization.

221234413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365961 (or 20365958 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 221234413221 its reverse (122314432122), we get a palindrome (343548845343).

It can be divided in two parts, 22123 and 4413221, that added together give a palindrome (4435344).

The spelling of 221234413221 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred twenty-one".