2221122110033 has 2 divisors, whose sum is σ = 2221122110034. Its totient is φ = 2221122110032.

The previous prime is 2221122110017. The next prime is 2221122110057. The reversal of 2221122110033 is 3300112211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1674392004289 + 546730105744 = 1293983^2 + 739412^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221122110033 - 2⁴ = 2221122110017 is a prime.

It is a super-2 number, since 2×2221122110033² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2221122109987 and 2221122110014.

It is not a weakly prime, because it can be changed into another prime (2221122110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561055016 + 1110561055017.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561055017).

Almost surely, 2^{2221122110033} is an apocalyptic number.

It is an amenable number.

2221122110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221122110033 is an equidigital number, since it uses as much as digits as its factorization.

2221122110033 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 2221122110033 its reverse (3300112211222), we get a palindrome (5521234321255).

The spelling of 2221122110033 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, thirty-three".