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That, of course, implies that the number 0 existed at the time. As far as numbers go, zero is a relatively new addition to Western Mathematics, being introduced sometime in the middle ages despite the fact that both the Babylonians and the Mayans may have developed it earlier. This poses a problem as the Julian calender (on which the modern-day Gregorian is based) existed long before that.
Conclusion: The century went from 1901-2000 (with the new one starting with 2001) and that's the only way it could have been.
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