# 1021

## 1,021 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 1021 look like?

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

1021 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1021:

### 1021

See below for interesting mathematical facts about the number 1021 from the Numbermatics database.

### Names of 1021

• Cardinal: 1021 can be written as One thousand and twenty-one.

### Scientific notation

• Scientific notation: 1.021 × 103

### Factors of 1021

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1021

### Divisors of 1021

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1022
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1021 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1020

### Bases of 1021

• Binary: 11111111012
• Base-36: SD

### Squares and roots of 1021

• 1021 squared (10212) is 1042441
• 1021 cubed (10213) is 1064332261
• The square root of 1021 is 31.9530906173
• The cube root of 1021 is 10.0695156381

### Scales and comparisons

How big is 1021?
• 1,021 seconds is equal to 17 minutes, 1 second.
• To count from 1 to 1,021 would take you about seventeen minutes.

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 1021 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1021

• 1021 backwards is 1201
• The number of decimal digits it has is: 4
• The sum of 1021's digits is 4
• More coming soon!