12100001220221 has 8 divisors (see below), whose sum is σ = 12395317786488. Its totient is φ = 11804693920000.

The previous prime is 12100001220199. The next prime is 12100001220257. The reversal of 12100001220221 is 12202210000121.

It can be written as a sum of positive squares in 4 ways, for example, as 3609566812996 + 8490434407225 = 1899886^2 + 2913835^2 .

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 12100001220221 - 2³⁰ = 12098927478397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100001220196 and 12100001220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100001240221) 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, 364451 + ... + 4932831.

It is an arithmetic number, because the mean of its divisors is an integer number (1549414723311).

Almost surely, 2^{12100001220221} is an apocalyptic number.

It is an amenable number.

12100001220221 is a deficient number, since it is larger than the sum of its proper divisors (295316566267).

12100001220221 is an equidigital number, since it uses as much as digits as its factorization.

12100001220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633023.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12100001220221 its reverse (12202210000121), we get a palindrome (24302211220342).

The spelling of 12100001220221 in words is "twelve trillion, one hundred billion, one million, two hundred twenty thousand, two hundred twenty-one".