22212120212033 has 2 divisors, whose sum is σ = 22212120212034. Its totient is φ = 22212120212032.

The previous prime is 22212120211993. The next prime is 22212120212059. The reversal of 22212120212033 is 33021202121222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16654299817024 + 5557820395009 = 4080968^2 + 2357503^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212120212033 - 2³⁴ = 22194940342849 is a prime.

It is not a weakly prime, because it can be changed into another prime (22212120212533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106060106016 + 11106060106017.

It is an arithmetic number, because the mean of its divisors is an integer number (11106060106017).

Almost surely, 2^{22212120212033} is an apocalyptic number.

It is an amenable number.

22212120212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212120212033 is an equidigital number, since it uses as much as digits as its factorization.

22212120212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22212120212033 its reverse (33021202121222), we get a palindrome (55233322333255).

The spelling of 22212120212033 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, thirty-three".