10001
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With gratitude and apologies to the young Gauss . . .
The sum of the first number from each end of the range = 1 + 10,000 = 10,001
The sum of the second number from each end of the range = 2 + 9,999 = 10,001
The sum of the third number from each end of the range = 3 + 9,998 = 10,001
The sum of the fourth number from each end of the range = 4 + 9,997 = 10,001
The sum of the fifth number from each end of the range = 5 + 9,996 = 10,001
.
.
etc.
The sum of each pair is 10,001 and there are 5,000 pairs.
The grand total is (5,000) times (10,001) = 50,005,000 .
The answer is zero !
The sum of all odd numbers 1 to 120,000 is 14,400,000,000.
The sum is infinite
The sum of all the numbers 1 through 200 is 20,100.
The sum of all odd numbers from 1 to 64 inclusive is 4,096