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1102210221021 = 3713371031079901
BaseRepresentation
bin10000000010100000110…
…110010100001111011101
310220100222220222121222120
4100002200312110033131
5121024311304033041
62202203130133153
7142426540203420
oct20024066241735
93810886877876
101102210221021
11395498a31838
12159747b811b9
137cc26977c70
143b4c0c459b7
151da0ea3b366
hex100a0d943dd

1102210221021 has 128 divisors (see below), whose sum is σ = 1893396750336. Its totient is φ = 554889139200.

The previous prime is 1102210220999. The next prime is 1102210221041. The reversal of 1102210221021 is 1201220122011.

It is not a de Polignac number, because 1102210221021 - 27 = 1102210220893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102210221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111318171 + ... + 111328071.

It is an arithmetic number, because the mean of its divisors is an integer number (14792162112).

Almost surely, 21102210221021 is an apocalyptic number.

It is an amenable number.

1102210221021 is a deficient number, since it is larger than the sum of its proper divisors (791186529315).

1102210221021 is a wasteful number, since it uses less digits than its factorization.

1102210221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102210221021 its reverse (1201220122011), we get a palindrome (2303430343032).

It can be divided in two parts, 1102210 and 221021, that added together give a palindrome (1323231).

The spelling of 1102210221021 in words is "one trillion, one hundred two billion, two hundred ten million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 13 21 37 39 91 103 107 111 259 273 309 321 481 721 749 777 1339 1391 1443 2163 2247 3367 3811 3959 4017 4173 9373 9737 9901 10101 11021 11433 11877 26677 27713 28119 29211 29703 33063 49543 51467 69307 77147 80031 83139 128713 143273 148629 154401 207921 231441 346801 360269 366337 386139 407777 429819 900991 1002911 1019803 1040403 1059407 1080807 1099011 1223331 2564359 2702973 2854439 3008733 3059409 3178221 4762381 5301101 7138621 7415849 7693077 8563317 13257439 13772291 14287143 15903303 21415863 22247547 33336667 37107707 37732711 39198059 39772317 41316873 92802073 96406037 100010001 109118921 111323121 113198133 117594177 264128977 274386413 278406219 289218111 327356763 490525243 509574767 763832447 792386931 823159239 1418545973 1471575729 1528724301 2291497341 3433676701 3567023369 4037400077 4255637919 9929821811 10301030103 10701070107 12112200231 28261800539 29789465433 52486201001 84785401617 157458603003 367403407007 1102210221021