Определить количество и сумму цифр в числе удовлетворяющих условию

import unittest
 
def sum_first_and_min(n):
    mi=9
    while n>10:
        k=n%10
        if k<mi:
            mi=k
        n=n//10
    return mi+n
 
class Tests(unittest.TestCase):
    def test00(self):
        self.assertEqual(0, sum_first_and_min(0))
    def test01(self):
        self.assertEqual(2, sum_first_and_min(1))
    def test02(self):
        self.assertEqual(4, sum_first_and_min(2))
    def test03(self):
        self.assertEqual(6, sum_first_and_min(3))
    def test04(self):
        self.assertEqual(8, sum_first_and_min(4))
    def test05(self):
        self.assertEqual(10, sum_first_and_min(5))
    def test06(self):
        self.assertEqual(12, sum_first_and_min(6))
    def test07(self):
        self.assertEqual(14, sum_first_and_min(7))
    def test08(self):
        self.assertEqual(16, sum_first_and_min(8))
    def test09(self):
        self.assertEqual(18, sum_first_and_min(9))
    def test10(self):
        self.assertEqual(1, sum_first_and_min(10))
    def test11(self):
        self.assertEqual(8, sum_first_and_min(672457))
    def test12(self):
        self.assertEqual(2, sum_first_and_min(12))
 
if __name__ == '__main__':
    unittest.main()