The difference between Century and Hundred

Century as a noun:

A period of 100 consecutive years; often specifically a numbered period with conventional start and end dates, e.g., the twentieth century, which stretches from (strictly) 1901 through 2000, or (informally) 1900 through 1999. The first century AD was from 1 to 100.

Century as a noun:

A unit in ancient Roman army, originally of 100 army soldiers as part of a cohort, later of more varied sizes (but typically containing 60 to 70 or 80) soldiers or other men (guards, police, firemen), commanded by a centurion.

Century as a noun:

A political division of ancient Rome, meeting in the Centuriate Assembly.

Century as a noun:

A hundred things of the same kind; a hundred.

Century as a noun (cricket):

A hundred runs scored either by a single player in one innings, or by two players in a partnership.

Century as a noun (sports):

A race a hundred units (as meters, kilometres, miles) in length.

Century as a noun (US, informal):

A banknote in the denomination of one hundred dollars.

Hundred as a noun:

A hundred-dollar bill, or any other note denominated 100 (e.g. a hundred euros).

Hundred as a noun (historical):

An administrative subdivision of southern English counties formerly reckoned as comprising 100 hides (households or families) and notionally equal to 12,000 acres.

Hundred as a noun (by extension, historical):

Similar divisions in other areas, particularly in other areas of Britain or the British Empire

Hundred as a noun (cricket):

A score of one hundred runs or more scored by a batsman.