Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Width
WRAPOBJECT_WIDTHParameter: Height
WRAPOBJECT_HEIGHTParameter: Radius
WRAPOBJECT_RADIUSParameter: Wrap
WRAPOBJECT_TYPEParameter: Longitude Start
WRAPOBJECT_XSANGLEParameter: Longitude End
WRAPOBJECT_XEANGLEParameter: Latitude Start
WRAPOBJECT_YSANGLEParameter: Latitude End
WRAPOBJECT_YEANGLEParameter: Movement
WRAPOBJECT_MOVEParameter: Scale Z
WRAPOBJECT_ZSCALEParameter: Tension
WRAPOBJECT_TENSIONParameter: Fit to Parent
WRAPOBJECT_FITTOPARENT