12211100120033 has 2 divisors, whose sum is σ = 12211100120034. Its totient is φ = 12211100120032.

The previous prime is 12211100119909. The next prime is 12211100120053. The reversal of 12211100120033 is 33002100111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6750970617169 + 5460129502864 = 2598263^2 + 2336692^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211100120033 - 2¹⁶ = 12211100054497 is a prime.

It is a super-2 number, since 2×12211100120033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211100119993 and 12211100120020.

It is not a weakly prime, because it can be changed into another prime (12211100120053) 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, 6105550060016 + 6105550060017.

It is an arithmetic number, because the mean of its divisors is an integer number (6105550060017).

Almost surely, 2^{12211100120033} is an apocalyptic number.

It is an amenable number.

12211100120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211100120033 is an equidigital number, since it uses as much as digits as its factorization.

12211100120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12211100120033 its reverse (33002100111221), we get a palindrome (45213200231254).

The spelling of 12211100120033 in words is "twelve trillion, two hundred eleven billion, one hundred million, one hundred twenty thousand, thirty-three".