12201101212121 has 2 divisors, whose sum is σ = 12201101212122. Its totient is φ = 12201101212120.

The previous prime is 12201101212099. The next prime is 12201101212171. The reversal of 12201101212121 is 12121210110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9707430705625 + 2493670506496 = 3115675^2 + 1579136^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201101212121 - 2³⁸ = 11926223305177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12201101212121.

It is not a weakly prime, because it can be changed into another prime (12201101212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100550606060 + 6100550606061.

It is an arithmetic number, because the mean of its divisors is an integer number (6100550606061).

Almost surely, 2^{12201101212121} is an apocalyptic number.

It is an amenable number.

12201101212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201101212121 is an equidigital number, since it uses as much as digits as its factorization.

12201101212121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12201101212121 its reverse (12121210110221), we get a palindrome (24322311322342).

The spelling of 12201101212121 in words is "twelve trillion, two hundred one billion, one hundred one million, two hundred twelve thousand, one hundred twenty-one".