Counting zero in lists

Questions
1

Dear all,

I have 100 lists like the below:
list1={…}
list2={…}
…
list100={…}

For counting zero values for a list I used "Count[list1, x_ /; x <= 0]. How do I use this command for the 100 lists?

2

Here is one way

list1 = RandomInteger[{0, 3}, 10];
list2 = RandomInteger[{0, 3}, 10];
list3 = RandomInteger[{0, 3}, 10];

Count[Symbol["list" <> ToString@#], x_ /; x == 0] & /@ Range[3]