Absolute Value · Superchallenge problem

A list of numbers starts with $0$. To get each new number, subtract the step number from the previous number and take the absolute value: the $2$nd number is $|0-1|=1$, the $3$rd is $|1-2|=1$, the $4$th is $|1-3|=2$, and in general the next number is $|\text{previous number}-k|$ for $k=1,2,3,\ldots$ What is the $101$st number in the list?