221123131033221 has 96 divisors (see below), whose sum is σ = 333718377632640. Its totient is φ = 146311853458176.

The previous prime is 221123131033171. The next prime is 221123131033229. The reversal of 221123131033221 is 122330131321122.

221123131033221 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 2 + 313 + 10 + 332 + 2 + 1 = 666.

It is not a de Polignac number, because 221123131033221 - 2⁴³ = 212327038011013 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123131033229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68480373435 + ... + 68480376663.

It is an arithmetic number, because the mean of its divisors is an integer number (3476233100340).

Almost surely, 2^{221123131033221} is an apocalyptic number.

It is an amenable number.

221123131033221 is a deficient number, since it is larger than the sum of its proper divisors (112595246599419).

221123131033221 is a wasteful number, since it uses less digits than its factorization.

221123131033221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 221123131033221 its reverse (122330131321122), we get a palindrome (343453262354343).

The spelling of 221123131033221 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, one hundred thirty-one million, thirty-three thousand, two hundred twenty-one".