No, a century is exactly 100 years.
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-99
The year 79 A.D. was in the First Century. Years 0 to 99 AD were in the first century after the start of the calendar (supposedly the death of Christ) - hence the First Century.
99
There are one hundred years in a century.
The years 0-99 are referred to as the 1st century. The 1900's were referred to as the 20th century and therefore the year 2000 was referred to as the twenty first century. Sorry if this explanation doesn't make much sense or doesn't answer your question correctly.