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21021010000221 = 37111741673319391
BaseRepresentation
bin1001100011110010101011…
…10101010111100101011101
32202102120220022220112020010
410301321111311113211131
510223402012030001341
6112412530233513433
74266501136565610
oct461712565274535
982376808815203
1021021010000221
116774a62146080
122436019872879
13b9637128606a
145295cab7c177
15266c10d72716
hex131e55d5795d

21021010000221 has 128 divisors (see below), whose sum is σ = 37909559181312. Its totient is φ = 10024971264000.

The previous prime is 21021010000181. The next prime is 21021010000231. The reversal of 21021010000221 is 12200001012012.

It is not a de Polignac number, because 21021010000221 - 26 = 21021010000157 is a prime.

It is a super-2 number, since 2×210210100002212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21021010000197 and 21021010000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021010000231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1084050436 + ... + 1084069826.

It is an arithmetic number, because the mean of its divisors is an integer number (296168431104).

Almost surely, 221021010000221 is an apocalyptic number.

21021010000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21021010000221 is a deficient number, since it is larger than the sum of its proper divisors (16888549181091).

21021010000221 is a wasteful number, since it uses less digits than its factorization.

21021010000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26203.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21021010000221 its reverse (12200001012012), we get a palindrome (33221011012233).

The spelling of 21021010000221 in words is "twenty-one trillion, twenty-one billion, ten million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 11 17 21 33 41 51 77 119 123 187 231 287 357 451 561 697 861 1309 1353 2091 3157 3927 4879 6733 7667 9471 14637 19391 20199 23001 47131 53669 58173 74063 114461 135737 141393 161007 213301 222189 276053 329647 343383 407211 518441 639903 795031 801227 828159 988941 1259071 1493107 1555323 1932371 2307529 2385093 2403681 3036583 3626117 3777213 4479321 4692901 5565217 5797113 6922587 8745341 8813497 9109749 10878351 13515527 14078703 16695651 21256081 25382819 26236023 26440491 32850307 40546581 51621911 61217387 63768243 76148457 94608689 98550921 130559603 148670797 154865733 183652161 283826067 361353377 391678809 446012391 913917221 1040695579 1084060131 1436155633 2219513251 2741751663 3122086737 4308466899 5352943723 6658539753 10053089431 15536592757 16058831169 24414645761 30159268293 37470606061 46609778271 58882380953 73243937283 91000043291 112411818183 170902520327 176647142859 273000129873 412176666671 512707560981 637000303037 1001000476201 1236530000013 1911000909111 3003001428603 7007003333407 21021010000221