CAD tip # 13211:

The solids will be named (renamed) according to the specified prefix followed by a numeric series.

'------- start of iLogic ------
'original idea: B.Han
'check that this active document is a part file   
Dim partDoc As PartDocument
If ThisApplication.ActiveDocument.DocumentType <> DocumentTypeEnum.kPartDocumentObject Then
    MessageBox.Show("Please open a Part document", "iLogic")
    Return
End If

'define the active document
partDoc = ThisApplication.ActiveDocument

'check for custom iProperty and add it if not found
Dim prefixPropertyName As String = "Prefix"
Dim customPropertySet = partDoc.PropertySets.Item("Inventor User Defined Properties")

Dim prefixProperty As Inventor.Property
Try
    prefixProperty = customPropertySet.Item(prefixPropertyName)
Catch
    ' Assume error means not found
    prefixProperty = customPropertySet.Add("", prefixPropertyName)
End Try

'write the part number to the Prefix iProperty if it is empty
If String.IsNullOrEmpty(prefixProperty.Value.ToString()) Then
    prefixProperty.Value = iProperties.Value("Project", "Part Number") & "_"
End If

'get input from user
Dim bodyPrefix = InputBox("Enter a prefix for the solid body names", "iLogic", prefixProperty.Value.ToString())

'write input back to custom iProperty
prefixProperty.Value = bodyPrefix

'rename all solid bodies incrementing suffix
Dim i As Integer = 1
For Each solid As SurfaceBody In partDoc.ComponentDefinition.SurfaceBodies
    solid.Name = String.Format("{0}{1:00}", bodyPrefix, i)
    i += 1
Next
'------- End Of iLogic ------