201121121221 has 8 divisors (see below), whose sum is σ = 204451021688. Its totient is φ = 197792280000.

The previous prime is 201121121189. The next prime is 201121121293. The reversal of 201121121221 is 122121121102.

201121121221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 250430625 + 200870690596 = 15825^2 + 448186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201121121221 - 2⁵ = 201121121189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201121121195 and 201121121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121121321) 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 7 ways as a sum of consecutive naturals, for example, 122731 + ... + 645991.

It is an arithmetic number, because the mean of its divisors is an integer number (25556377711).

Almost surely, 2^201121121221 is an apocalyptic number.

It is an amenable number.

201121121221 is a deficient number, since it is larger than the sum of its proper divisors (3329900467).

201121121221 is an equidigital number, since it uses as much as digits as its factorization.

201121121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529623.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201121121221 its reverse (122121121102), we get a palindrome (323242242323).

The spelling of 201121121221 in words is "two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".