2201221201121 has 16 divisors (see below), whose sum is σ = 2315365207440. Its totient is φ = 2089653914880.

The previous prime is 2201221201117. The next prime is 2201221201187. The reversal of 2201221201121 is 1211021221022.

It can be written as a sum of positive squares in 8 ways, for example, as 277560385600 + 1923660815521 = 526840^2 + 1386961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201221201121 - 2² = 2201221201117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2201221201121.

It is not an unprimeable number, because it can be changed into a prime (2201229201121) 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, 4280015 + ... + 4766651.

It is an arithmetic number, because the mean of its divisors is an integer number (144710325465).

Almost surely, 2^{2201221201121} is an apocalyptic number.

It is an amenable number.

2201221201121 is a deficient number, since it is larger than the sum of its proper divisors (114144006319).

2201221201121 is a wasteful number, since it uses less digits than its factorization.

2201221201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489284.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2201221201121 its reverse (1211021221022), we get a palindrome (3412242422143).

The spelling of 2201221201121 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-one".