221233222332121 has 16 divisors (see below), whose sum is σ = 234490505936400. Its totient is φ = 208003035801600.

The previous prime is 221233222332097. The next prime is 221233222332151. The reversal of 221233222332121 is 121233222332122.

It can be written as a sum of positive squares in 8 ways, for example, as 103532660010000 + 117700562322121 = 10175100^2 + 10848989^2 .

It is a cyclic number.

It is not a de Polignac number, because 221233222332121 - 2⁹ = 221233222331609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221233222332151) 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, 208133815 + ... + 209194051.

It is an arithmetic number, because the mean of its divisors is an integer number (14655656621025).

Almost surely, 2^{221233222332121} is an apocalyptic number.

It is an amenable number.

221233222332121 is a deficient number, since it is larger than the sum of its proper divisors (13257283604279).

221233222332121 is a wasteful number, since it uses less digits than its factorization.

221233222332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073004.

The product of its digits is 20736, while the sum is 31.

Adding to 221233222332121 its reverse (121233222332122), we get a palindrome (342466444664243).

Subtracting from 221233222332121 its reverse (121233222332122), we obtain a palindrome (99999999999999).

The spelling of 221233222332121 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty-one".