The Simple Sunday Century Question, With Added Alliteration.
Will the first day of a century fall on a Sunday, when was the last time? That’s it, simple as that.
But do a bit of research, yes, the calendar follows a predictable pattern, and so do the days of the week. Since first days of the century occur so rarely (oh, about every 100 years or so), it’s entirely possible that the alignment of these two fixed repeating patterns might not allow the New Year’s Day of a year evenly divisible by 100 – which we’ll call the first day of the century, the protests of pedants notwithstanding – to fall on a Sunday.
But do the research on leap years, look at calendar manipulations and calendar types (for the western world, at least), do the calculations and see.