12212002100033 has 2 divisors, whose sum is σ = 12212002100034. Its totient is φ = 12212002100032.

The previous prime is 12212002100009. The next prime is 12212002100041. The reversal of 12212002100033 is 33000120021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7182357120064 + 5029644979969 = 2679992^2 + 2242687^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212002100033 - 2¹⁶ = 12212002034497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212002099984 and 12212002100020.

It is not a weakly prime, because it can be changed into another prime (12212002100063) 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 as a sum of consecutive naturals, namely, 6106001050016 + 6106001050017.

It is an arithmetic number, because the mean of its divisors is an integer number (6106001050017).

Almost surely, 2^{12212002100033} is an apocalyptic number.

It is an amenable number.

12212002100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212002100033 is an equidigital number, since it uses as much as digits as its factorization.

12212002100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12212002100033 its reverse (33000120021221), we get a palindrome (45212122121254).

It can be divided in two parts, 1221200 and 2100033, that added together give a palindrome (3321233).

The spelling of 12212002100033 in words is "twelve trillion, two hundred twelve billion, two million, one hundred thousand, thirty-three".