A shopping mall issues 9999 shopping coupons to customers. Each shopping coupon is printed with a four-digit number from 0001 to 9999. If the sum of the first two digits of the number is equal to the sum of the last two digits, it is called this A shopping coupon is a "lucky coupon". For example, the number 0826, because 0+8=2+6, so the shopping coupon of this number is a lucky coupon. Try to explain: Among the shopping coupons issued by this shopping mall, the sum of all lucky coupon numbers can be divisible by 101.
某商场向顾客发出9999张购物券，每张购物券上印有一个四位数的号码，从0001到9999号，如果号码的前两位数之和等于后两位数之和，则称这张购物券为"幸运券"．例如号码0826，因0+8=2+6，所以这个号码的购物券是幸运券．试说明：这个商场所发出的购物券中，所有幸运券的号码之和能被101整除．
<result>101</result>