The number 10201
10201 is a perfect square (101²) and a palindrome: it reads 10201 backwards too. Its prime factorisation is . Divisors (3): 1, 101, 10201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10201: a perfect square (101²); a palindrome: it reads 10201 backwards too; the square of a prime (101²).
- 2
10201 is composite. Its prime factorisation is
- 3
The divisors add up to 10303; without 10201 itself that is 102, so 10201 is deficient (102 is less than 10201). Euler's totient φ(10201) = 10100 numbers up to 10201 share no factor with it.
- 4
The digits of 10201 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10201 = 101^{2} \]10201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 10303 |
| Euler totient φ(n) | 10100 |
| Square | 104060401 |
| Cube | 1061520150601 |
| Square root | 101 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0201 × |
| Perfect power |
10201 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and one |
| Binary (base 2) | 10011111011001 |
| Octal (base 8) | 23731 |
| Hexadecimal (base 16) | 27D9 |
| Base 3 | 111222211 |
| As time | 10201 seconds = 2 h 50 min 1 s |
Is 10201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10201 a prime number?
No. 10201 = , so it is divisible by 101.
What are the factors of 10201?
1, 101, 10201.
What is 10201 in binary?
10011111011001 (hexadecimal 27D9, octal 23731).
What is the square root of 10201?
101, because 101 × 101 = 10201.
Is 10201 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 10201?
10201 is a perfect square (101²); a palindrome: it reads 10201 backwards too; the square of a prime (101²).