101

Names of 101

• Cardinal: 101 can be written as One hundred one.

Scientific notation

• Scientific notation: 1.01 × 10²

Factors of 101

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 101

Divisors of 101

• Number of divisors d(n): 2
• Complete list of divisors:
  1 101
• Sum of all divisors σ(n): 102
• Sum of proper divisors (its aliquot sum) s(n): 1
• 101 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 100

Bases of 101

• Binary: 1100101₂
• Hexadecimal: 0x65
• Base-36: 2T

Squares and roots of 101

• 101 squared (101²) is 10201
• 101 cubed (101³) is 1030301
• The square root of 101 is 10.0498756211
• The cube root of 101 is 4.6570095079

Scales and comparisons

• 101 seconds is equal to 1 minute, 41 seconds.
• To count from 1 to 101 would take you about fifty seconds.

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 101 cubic inches would be around 0.4 feet tall.

Recreational maths with 101

• 101 is the same when its digits are reversed! That makes it a palindromic prime number.
• 101 is a twin prime! Its twin is 103
• The number of decimal digits it has is: 3
• The sum of 101's digits is 2
• More coming soon!