12221100212033 has 2 divisors, whose sum is σ = 12221100212034. Its totient is φ = 12221100212032.

The previous prime is 12221100211993. The next prime is 12221100212149. The reversal of 12221100212033 is 33021200112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8204054089984 + 4017046122049 = 2864272^2 + 2004257^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221100212033 - 2⁸ = 12221100211777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221100211996 and 12221100212014.

It is not a weakly prime, because it can be changed into another prime (12221100212833) 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, 6110550106016 + 6110550106017.

It is an arithmetic number, because the mean of its divisors is an integer number (6110550106017).

Almost surely, 2^{12221100212033} is an apocalyptic number.

It is an amenable number.

12221100212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221100212033 is an equidigital number, since it uses as much as digits as its factorization.

12221100212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12221100212033 its reverse (33021200112221), we get a palindrome (45242300324254).

The spelling of 12221100212033 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, two hundred twelve thousand, thirty-three".