12122101221121 has 8 divisors (see below), whose sum is σ = 12835217598984. Its totient is φ = 11408990576640.

The previous prime is 12122101221119. The next prime is 12122101221157. The reversal of 12122101221121 is 12112210122121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9299902096 + 12112801319025 = 96436^2 + 3480345^2 .

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 12122101221121 - 2¹ = 12122101221119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122101221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3381841 + ... + 5973361.

It is an arithmetic number, because the mean of its divisors is an integer number (1604402199873).

Almost surely, 2^{12122101221121} is an apocalyptic number.

It is an amenable number.

12122101221121 is a deficient number, since it is larger than the sum of its proper divisors (713116377863).

12122101221121 is a wasteful number, since it uses less digits than its factorization.

12122101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866691.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122101221121 its reverse (12112210122121), we get a palindrome (24234311343242).

The spelling of 12122101221121 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".