| Base | Representation |
|---|---|
| bin | 1001101001010010101111… |
| … | …10101010011110010011000 |
| 3 | 2210002122202220112001102112 |
| 4 | 10310221113311103302120 |
| 5 | 10240001111124200440 |
| 6 | 113035425531051452 |
| 7 | 4316242056123500 |
| oct | 464512765236230 |
| 9 | 83078686461375 |
| 10 | 21210022100120 |
| 11 | 68381355932a7 |
| 12 | 24667895a0b88 |
| 13 | bab1340261a9 |
| 14 | 5347db81ca00 |
| 15 | 26bac4847965 |
| hex | 134a57d53c98 |
21210022100120 has 192 divisors, whose sum is σ = 57034668257280. Its totient is φ = 7074660413184.
The previous prime is 21210022100117. The next prime is 21210022100129. The reversal of 21210022100120 is 2100122001212.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 21210022100095 and 21210022100104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21210022100129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14694689 + ... + 16073391.
It is an arithmetic number, because the mean of its divisors is an integer number (297055563840).
Almost surely, 221210022100120 is an apocalyptic number.
21210022100120 is a gapful number since it is divisible by the number (20) 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 21210022100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28517334128640).
21210022100120 is an abundant number, since it is smaller than the sum of its proper divisors (35824646157160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21210022100120 is a wasteful number, since it uses less digits than its factorization.
21210022100120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1378942 (or 1378931 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 21210022100120 its reverse (2100122001212), we get a palindrome (23310144101332).
The spelling of 21210022100120 in words is "twenty-one trillion, two hundred ten billion, twenty-two million, one hundred thousand, one hundred twenty".
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