To express the mass of 1,000 protons in scientific notation, we start with the number given by Dina's calculator: \( 1.67E^{-21} \) grams. This is shorthand for \( 1.67 \times 10^{-21} \) grams.
Since she calculated the mass for 1,000 protons, we can express this in scientific notation as follows:
\[ 1.67 \times 10^{-21} \text{ grams} \]
Therefore, the mass of 1,000 protons in scientific notation is:
\[ \boxed{1.67 \times 10^{-21} \text{ grams}} \]