The number 12101
12101 is the 1448th prime number. Its only divisors are 1 and 12101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12101: the 1448th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12101 is prime, so its only factors are 1 and 12101. It is the 1448th prime; the next prime is 12107 and the one before is 12097.
- 3
The divisors add up to 12102; without 12101 itself that is 1, so 12101 is deficient (1 is less than 12101). Euler's totient φ(12101) = 12100 numbers up to 12101 share no factor with it.
- 4
The digits of 12101 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
12101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12102 |
| Euler totient φ(n) | 12100 |
| Square | 146434201 |
| Cube | 1772000266301 |
| Square root | 110.004545 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.2101 × |
12101 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and one |
| Binary (base 2) | 10111101000101 |
| Octal (base 8) | 27505 |
| Hexadecimal (base 16) | 2F45 |
| Base 3 | 121121012 |
| As time | 12101 seconds = 3 h 21 min 41 s |
Is 12101 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12101 a prime number?
Yes. 12101 is divisible only by 1 and itself.
What are the factors of 12101?
1, 12101.
What is 12101 in binary?
10111101000101 (hexadecimal 2F45, octal 27505).
What is the square root of 12101?
About 110.0045.
Is 12101 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 12101?
12101 is the 1448th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.