| Base | Representation |
|---|---|
| bin | 1001010010111100100111… |
| … | …0000011011010001001000 |
| 3 | 1100012010110212200100201021 |
| 4 | 2110233021300123101020 |
| 5 | 2314430314200042300 |
| 6 | 33423303013002224 |
| 7 | 2103310454315653 |
| oct | 224571160332110 |
| 9 | 40163425610637 |
| 10 | 10221112112200 |
| 11 | 3290827361630 |
| 12 | 1190b05923374 |
| 13 | 591b01384082 |
| 14 | 2749c10a889a |
| 15 | 12ad1baacd1a |
| hex | 94bc9c1b448 |
10221112112200 has 192 divisors, whose sum is σ = 26925292296000. Its totient is φ = 3574300800000.
The previous prime is 10221112112179. The next prime is 10221112112207. The reversal of 10221112112200 is 221121112201.
It is a super-2 number, since 2×102211121122002 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10221112112207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15694666 + ... + 16332934.
It is an arithmetic number, because the mean of its divisors is an integer number (140235897375).
Almost surely, 210221112112200 is an apocalyptic number.
10221112112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10221112112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462646148000).
10221112112200 is an abundant number, since it is smaller than the sum of its proper divisors (16704180183800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221112112200 is a wasteful number, since it uses less digits than its factorization.
10221112112200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 638576 (or 638567 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 10221112112200 its reverse (221121112201), we get a palindrome (10442233224401).
Subtracting from 10221112112200 its reverse (221121112201), we obtain a palindrome (9999990999999).
The spelling of 10221112112200 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, two hundred".
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