One.
If you mean "digits", the number can have any amount of digits; the only requirement to be called a "palindrome" is that if you read it backwards, you get the same sequence of digits. Thus, any of the following is a palindrome: 1 (any 1-digit number is a palindrome), 55, 121, 2002, 12321, 600006, 8105018, ... As you can see, you can make them arbitrarily large.
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There is no limit to numbers, thus there is no limit to palindrome numbers.
Palindrome numbers are numbers that read the same backwards and forwards, like 32923
30 palindromes.
Only one . . . 101 .
10+1=11 (which is a palindrome)