221231001233121 has 32 divisors (see below), whose sum is σ = 325408546713600. Its totient is φ = 132571916906880.

The previous prime is 221231001233117. The next prime is 221231001233159. The reversal of 221231001233121 is 121332100132122.

It is not a de Polignac number, because 221231001233121 - 2² = 221231001233117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221231001233091 and 221231001233100.

It is not an unprimeable number, because it can be changed into a prime (221231001233321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760205640 + ... + 760496598.

It is an arithmetic number, because the mean of its divisors is an integer number (10169017084800).

Almost surely, 2^{221231001233121} is an apocalyptic number.

It is an amenable number.

221231001233121 is a deficient number, since it is larger than the sum of its proper divisors (104177545480479).

221231001233121 is a wasteful number, since it uses less digits than its factorization.

221231001233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549949.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221231001233121 its reverse (121332100132122), we get a palindrome (342563101365243).

It can be divided in two parts, 221231001 and 233121, that added together give a palindrome (221464122).

The spelling of 221231001233121 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, one million, two hundred thirty-three thousand, one hundred twenty-one".