修改SQL结果

I want to count the total row where parent id is equal to page id in a page table,

SELECT 
    parent_id
    COUNT(*) AS total
FROM page AS p
WHERE p.parent_id = p.page_id
AND p.type = 'page'

and I get this correct result,

parent_id   total
 1          16

but what if I want to change the value in parent id to self?

So I will get this as my final result,

parent_id   total
 self       16

is it possible?

SELECT 
    'self' as parent_id
    COUNT(*) AS total
FROM page AS p
WHERE p.parent_id = p.page_id
AND p.type = 'page'