| Base | Representation |
|---|---|
| bin | 1001010010111100111110… |
| … | …0101110101101010000000 |
| 3 | 1100012010201200212120112100 |
| 4 | 2110233033211311222000 |
| 5 | 2314431014230000000 |
| 6 | 33423320431030400 |
| 7 | 2103313053333066 |
| oct | 224571745655200 |
| 9 | 40163650776470 |
| 10 | 10221210000000 |
| 11 | 329087764013a |
| 12 | 1190b3266b400 |
| 13 | 591b1873834c |
| 14 | 2749d00aa036 |
| 15 | 12ad25496a00 |
| hex | 94bcf975a80 |
10221210000000 has 576 divisors, whose sum is σ = 36875072103480. Its totient is φ = 2717568000000.
The previous prime is 10221209999981. The next prime is 10221210000013. The reversal of 10221210000000 is 1212201.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
10221210000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 12 ways, for example, as 9063037998144 + 1158172001856 = 3010488^2 + 1076184^2 .
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30329999832 + ... + 30330000168.
Almost surely, 210221210000000 is an apocalyptic number.
10221210000000 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 10221210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437536051740).
10221210000000 is an abundant number, since it is smaller than the sum of its proper divisors (26653862103480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221210000000 is an frugal number, since it uses more digits than its factorization.
10221210000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 729 (or 347 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10221210000000 its reverse (1212201), we get a palindrome (10221211212201).
The spelling of 10221210000000 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million", and thus it is an aban number.
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