How many Batman-centered comics have been published since 2010?
There have been hundreds of Batman-centered comic books published since 2010. Some of the major Batman comic book series that have been published since 2010 include:

- Batman by Scott Snyder and Greg Capullo which launched in 2011 and ran for 50 issues

- Batman and Robin by Peter Tomasi and Patrick Gleason which launched in 2011 and ran for 40 issues

- Batman Eternal, a year-long weekly series that ran in 2014

- Batman Rebirth which launched in 2016 as part of DC's Rebirth publishing initiative

This is not an exhaustive list and does not include limited series, graphic novels or alternate versions of Batman like Batman/Superman or Batman Beyond. So the exact number of Batman comics published since 2010 would be in the many hundreds if not thousands.
Thank you, Is there a way to figure out an exact count or calculate how many have been published or some way to build an exhaustive list of them?
There are probably already exhaustive and readily updated lists on Wikipedia or the Batman Wiki. For each item in the list, you would have to count the number of comics and sum the counts to get the total. If you do this, be careful to record where you left off, possibly by creating a backup of the list, so that you don't have to recount everything if you wish to update it in the future.