I don't think so. Volume increases as the cube of the increase of the diameter, right? 100 ^3 is something like 1,000,000 times the volume if I remember the rule correctly.
With a diameter 100 times the earth's.
The circumference of a sphere of a sphere equals 3.1416 times the diameter.
The volume equals 4/3 times pi times the radius cubed.
So, why would the volume be one-million times the earth's?
You noted that the sun's radius is 109 times greater than the earth's (as is its diameter).
The sun is bigger because its volume is calculated on a radius which is 109 times greater.
109 x 109 x 109 is approx 1.3 million times as big