221332311122121 has 16 divisors (see below), whose sum is σ = 329988253436800. Its totient is φ = 146615034116304.

The previous prime is 221332311122059. The next prime is 221332311122141. The reversal of 221332311122121 is 121221113233122.

221332311122121 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 323 + 111 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 221332311122121 - 2¹⁹ = 221332310597833 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 not an unprimeable number, because it can be changed into a prime (221332311122141) 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, 26106661381 + ... + 26106669858.

It is an arithmetic number, because the mean of its divisors is an integer number (20624265839800).

Almost surely, 2^{221332311122121} is an apocalyptic number.

It is an amenable number.

221332311122121 is a deficient number, since it is larger than the sum of its proper divisors (108655942314679).

221332311122121 is a wasteful number, since it uses less digits than its factorization.

221332311122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52213331405 (or 52213331399 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 221332311122121 its reverse (121221113233122), we get a palindrome (342553424355243).

The spelling of 221332311122121 in words is "two hundred twenty-one trillion, three hundred thirty-two billion, three hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".