# 101

## 101 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 101 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

101 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 101:

### 101

See below for interesting mathematical facts about the number 101 from the Numbermatics database.

### 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:
• 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
• 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

How big is 101?
• 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!