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2002211221101 = 3713172231103371
BaseRepresentation
bin11101001000101101000…
…101101010111001101101
321002102001112122112001220
4131020231011222321231
5230301012033033401
64131445251053553
7264440442400560
oct35105505527155
97072045575056
102002211221101
11702151044a43
122840605a12b9
13116a666c4320
146cc9c40c4d7
15371371b4336
hex1d22d16ae6d

2002211221101 has 96 divisors (see below), whose sum is σ = 3642080913408. Its totient is φ = 950769515520.

The previous prime is 2002211221099. The next prime is 2002211221103. The reversal of 2002211221101 is 1011221122002.

It is an interprime number because it is at equal distance from previous prime (2002211221099) and next prime (2002211221103).

It is not a de Polignac number, because 2002211221101 - 21 = 2002211221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002211221103) 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, 1262946 + ... + 2366316.

It is an arithmetic number, because the mean of its divisors is an integer number (37938342848).

Almost surely, 22002211221101 is an apocalyptic number.

2002211221101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002211221101 is a deficient number, since it is larger than the sum of its proper divisors (1639869692307).

2002211221101 is a wasteful number, since it uses less digits than its factorization.

2002211221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103451 (or 1103434 counting only the distinct ones).

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

Adding to 2002211221101 its reverse (1011221122002), we get a palindrome (3013432343103).

Subtracting from 2002211221101 its reverse (1011221122002), we obtain a palindrome (990990099099).

The spelling of 2002211221101 in words is "two trillion, two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 13 17 21 23 39 51 69 91 119 161 221 273 289 299 357 391 483 663 867 897 1173 1547 2023 2093 2737 3757 4641 5083 6069 6279 6647 8211 11271 15249 19941 26299 35581 46529 78897 86411 106743 139587 259233 604877 1103371 1814631 3310113 7723597 14343823 18757307 23170791 25377533 43031469 56271921 76132599 100406761 131301149 177642731 243844991 301220283 318874219 329907929 393903447 431418061 532928193 731534973 956622657 989723787 1294254183 1706914937 2232119533 2309355503 3019926427 4145364847 5120744811 5608434793 6696358599 6928066509 7334107037 9059779281 12436094541 16825304379 22002321111 29017553929 39259043551 51338749259 87052661787 95343391481 117777130653 154016247777 286030174443 667403740367 2002211221101