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21222121101021 = 3319241251211573
BaseRepresentation
bin1001101001101001010001…
…11111010101011011011101
32210010211000002220222111000
410310310220333111123131
510240200401000213041
6113045150254420513
74320150642001551
oct464645077253335
983124002828430
1021222121101021
1168422841137a5
122468ba5501739
13bac311841819
1453522864b861
1526c081b21bb6
hex134d28fd56dd

21222121101021 has 96 divisors (see below), whose sum is σ = 34126920051840. Its totient is φ = 13024372320000.

The previous prime is 21222121101011. The next prime is 21222121101079. The reversal of 21222121101021 is 12010112122212.

21222121101021 is a `hidden beast` number, since 212 + 221 + 211 + 0 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 21222121101021 - 27 = 21222121100893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222121100985 and 21222121101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222121101011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100200591 + ... + 100412163.

It is an arithmetic number, because the mean of its divisors is an integer number (355488750540).

Almost surely, 221222121101021 is an apocalyptic number.

It is an amenable number.

21222121101021 is a deficient number, since it is larger than the sum of its proper divisors (12904798950819).

21222121101021 is a wasteful number, since it uses less digits than its factorization.

21222121101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211912 (or 211887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21222121101021 its reverse (12010112122212), we get a palindrome (33232233223233).

The spelling of 21222121101021 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 19 27 41 57 123 171 251 361 369 513 753 779 1083 1107 2259 2337 3249 4769 6777 7011 9747 10291 14307 14801 21033 30873 42921 44403 90611 92619 128763 133209 195529 211573 271833 277857 399627 586587 634719 815499 1759761 1904157 2446497 3715051 4019887 5279283 5712471 8674493 11145153 12059661 26023479 33435459 36178983 53104823 76377853 78070437 100306377 108536949 159314469 164815367 229133559 234211311 477943407 494446101 687400677 1008991637 1433830221 1483338303 2062202031 2177297743 3026974911 3131491973 4450014909 6531893229 9080924733 9394475919 19170841103 19595679687 27242774199 28183427757 41368657117 57512523309 58787039061 84550283271 124105971351 172537569927 372317914053 517612709781 786004485223 1116953742159 2358013455669 7074040367007 21222121101021