The locution "nul character", x'00' (SBCS) or x'0000' (DBCS) is unobjectionable. It is in wide use. The C string of 'conceptually unlimited' length is delimited by a null or a null character.
A null|nul string is one of length zero. To say more is to descend into implementation detail, though the halfword|fullword prefix is a very much better device for doing so than the null delimiter. John Gilmore, Ashland, MA 01721 - USA