Hi Donna,
Great questions! There are many different factors which can contribute to the archival-ness of a project, mostly - the ink, paper, and how it is exposed to light. You have varying control over all three.
For calligraphy:
Ink - dye-based inks, like those used in cartridge pens, will eventually fade. Dye-based inks can be very bright and bold when first used however, will fade over time and with light exposure. A spray fixative can preserve the color and help it last longer.
Pigment-based inks last longer. These include india inks, some sumi inks, and some markers like Sakura micron pens. Most pigment based inks are considered archival or fade-resistant. Also, remember that waterproof is not the same as archival. Some Higgins inks are actually dye-based even though called india inks and therefore are less archival. So it's important to check the label for "pigment-based" when choosing an archival ink.
Paper - Ideally, you want both acid-free and archival. Acid-free paper can last hundreds of years. Archival paper is fiber based like cotton and will last for 500-1,000+ years. Wood-pulp based paper will eventually yellow over time (like newspaper clippings).
A hotpress watercolor paper with a smooth sizing is ideal. Some favorites for calligraphers are Arches Text Wove and Rives BFK. You will have to cut the paper to size as it comes in large sheets. Both John Neal and Paper and Ink Arts have a great selection as do most large art supply companies.
For printing:
They now make archival quality printer papers. Some are made from bamboo. They are rather expensive. In terms of ink, I think it depends upon your printer. You should be able to look it up and the manufacturer will give you a rough estimate. For example, I use a Canon MX printer and Canon just came out with a ChromaLife100+ ink and paper system which supposedly makes the prints last 100+ years. However, they are still dye-based. And of course, this comes at a cost.
If you truly want something archival, you are better off going with original calligraphy with a pigment-based ink on archival paper.