Balanced numbers revisited

A positive integer with k (decimal) digits is called balanced if its first $\lceil \frac{k}{2}\rceil$ digits sum to the same value as its last $\lceil \frac{k}{2}\rceil$ digits, where $\lceil x\rceil$, pronounced ceiling of x, is the smallest integer $\ge$ x, thus $\lceil \pi \rceil =4$ and $\lceil 5\rceil =5$.

For example, 77, 101, 13722, and 585774 are balanced numbers.

Find the number and the sum of all balanced numbers n for $0<n\le {11}^{1111}$ and give your answer modulo $1000000007$

Answer format: count,sum(both modulo $1000000007$)

You are given: 634521,744405873 for a threshold of 12345678

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[My timing: 1 s]