12211202112121 has 2 divisors, whose sum is σ = 12211202112122. Its totient is φ = 12211202112120.

The previous prime is 12211202112113. The next prime is 12211202112157. The reversal of 12211202112121 is 12121120211221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11958455610000 + 252746502121 = 3458100^2 + 502739^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211202112121 - 2³ = 12211202112113 is a prime.

It is a super-2 number, since 2×12211202112121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211202112191) 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, 6105601056060 + 6105601056061.

It is an arithmetic number, because the mean of its divisors is an integer number (6105601056061).

Almost surely, 2^{12211202112121} is an apocalyptic number.

It is an amenable number.

12211202112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211202112121 is an equidigital number, since it uses as much as digits as its factorization.

12211202112121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12211202112121 its reverse (12121120211221), we get a palindrome (24332322323342).

The spelling of 12211202112121 in words is "twelve trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, one hundred twenty-one".