Interesting in theory (I suppose), but do you really believe that the time, as presented through a computer, will be restricted by code that would be more than 100 years old? I have no doubt that technology will not have any problem, as bits and bytes will not be very relevant in the days of the nano-tube computing technology, (or femto-tube, or whatever size -tube technology will be used in a 100 years). In fact, I will predict that computers will be using some form of grown bio-electronics - probably in the next quarter-century
I also think that Apple, Inc - in its present form - will no longer exist in 27,000 years, and any present-day computing technology will just be in some dusty history chamber as a curiosity.
Now, if you would be asking about a limitation some 5 or 10 years in the future, I would also expect that to be overcome, probably while you still care about it.