There are 100 palindromes between 10 and 1010.
This answer is supported by multiple sources which consistently state that there are 100 palindromes in this range. While the exact methodology for counting isn't explicitly detailed in all sources, the consensus supports this figure.
Understanding Palindromes
A palindrome is a number that remains the same when its digits are reversed. For example, 121 is a palindrome.
Two-Digit Palindromes
Two-digit palindromes between 10 and 1010 follow the pattern AA, where A represents a digit from 1 to 9. There are 9 such palindromes (11, 22, 33...99).
Three-Digit Palindromes
Three-digit palindromes between 10 and 1010 follow the pattern ABA, where A represents a digit from 1 to 9, and B represents a digit from 0 to 9. There are 90 such palindromes (101, 111, 121...999).
Four-Digit Palindromes
Only one four-digit palindrome, 1001, falls within the range of 10 to 1010.
Total Palindromes
Adding the number of two-digit, three-digit, and four-digit palindromes: 9 + 90 + 1 = 100.
Therefore, there are a total of 100 palindromes between 10 and 1010.
