Which apps do professional designers use to create typography?

If you want to create special letters and use them occasionally, you can make them as vectors in Illustrator. This is in fact how most type designers start, combining the shapes into a fonts later after worrying about typographic consistency, kerning, ligatures, baselines, oversetting, accents, encoding, hints, file formats, font families and many other highly expert concepts. Few people do this, the market is far too small for Adobe to enter.

I mean designing fonts.

By typography do you mean

(a) putting text on a page

(b) designing a font?

If it's (a) and there is more text than a little, and it isn't a technical manual, Adobe InDesign.

[moved from Adobe Creative Cloud to Type & Typography]