| Base | Representation |
|---|---|
| bin | 1001100110101111001011… |
| … | …11001011000111001101100 |
| 3 | 2202210021010012212012202000 |
| 4 | 10303113211321120321230 |
| 5 | 10232031242033033400 |
| 6 | 112531224311132300 |
| 7 | 4310013041016033 |
| oct | 463274571307154 |
| 9 | 82707105765660 |
| 10 | 21122211221100 |
| 11 | 6803974641200 |
| 12 | 2451761974090 |
| 13 | ba2a7b8c6892 |
| 14 | 53046b56971a |
| 15 | 269685789600 |
| hex | 1335e5e58e6c |
21122211221100 has 864 divisors, whose sum is σ = 75368021762880. Its totient is φ = 5070746419200.
The previous prime is 21122211221093. The next prime is 21122211221143. The reversal of 21122211221100 is 112211222112.
21122211221100 is a `hidden beast` number, since 211 + 2 + 221 + 1 + 221 + 10 + 0 = 666.
It is a super-2 number, since 2×211222112211002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16540493662 + ... + 16540494938.
It is an arithmetic number, because the mean of its divisors is an integer number (87231506670).
Almost surely, 221122211221100 is an apocalyptic number.
21122211221100 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 21122211221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37684010881440).
21122211221100 is an abundant number, since it is smaller than the sum of its proper divisors (54245810541780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21122211221100 is a wasteful number, since it uses less digits than its factorization.
21122211221100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1776 (or 1752 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 21122211221100 its reverse (112211222112), we get a palindrome (21234422443212).
It can be divided in two parts, 21122211 and 221100, that added together give a triangular number (21343311 = T6533).
The spelling of 21122211221100 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".
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