When the documentation refers to "geoprocessing in 32 bit space," is that synonymous with a 32-bit version of Python?
Hi Kelley -
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python is Python 2.7.13
this link talks about background geoprocessing to which I think you are referring.
See the section on Python Scripting.
If 64 bit vs 32 bit is a real issue, switch to ArcGIS Pro to ensure that you taking advantage of python capabilities. Remember, python 2.7.X is over 8 years old and there have been some substantial improvements in the 3.x line over that time