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21222120202101 = 32713371016933967
BaseRepresentation
bin1001101001101001010001…
…11011111001111101110101
32210010211000001020022101200
410310310220323321331311
510240200400232431401
6113045150223243113
74320150631236030
oct464645073717565
983124001208350
1021222120202101
11684228365a395
122468ba5149499
13bac3115b8610
14535228496017
1526c0819e5686
hex134d28ef9f75

21222120202101 has 96 divisors (see below), whose sum is σ = 39131543313408. Its totient is φ = 10783703923200.

The previous prime is 21222120202097. The next prime is 21222120202111. The reversal of 21222120202101 is 10120202122212.

It is a happy number.

21222120202101 is a `hidden beast` number, since 21 + 222 + 120 + 202 + 101 = 666.

It is not a de Polignac number, because 21222120202101 - 22 = 21222120202097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222120202111) 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, 406381 + ... + 6527586.

It is an arithmetic number, because the mean of its divisors is an integer number (407620242848).

Almost surely, 221222120202101 is an apocalyptic number.

21222120202101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222120202101 is a deficient number, since it is larger than the sum of its proper divisors (17909423111307).

21222120202101 is a wasteful number, since it uses less digits than its factorization.

21222120202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934131 (or 6934128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222120202101 its reverse (10120202122212), we get a palindrome (31342322324313).

The spelling of 21222120202101 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 101 111 117 259 273 303 333 481 707 777 819 909 1313 1443 2121 2331 3367 3737 3939 4329 6363 9191 10101 11211 11817 26159 27573 30303 33633 48581 78477 82719 145743 235431 340067 437229 1020201 3060603 6933967 20801901 48537769 62405703 90141571 145613307 256556779 270424713 436839921 630990997 700330667 769670337 811274139 1795897453 1892972991 2100992001 2309011011 3335238127 4902314669 5387692359 5678918973 6302976003 9104298671 10005714381 14706944007 16163077077 23346666889 25912234679 27312896013 30017143143 44120832021 63730090697 70040000667 77736704037 81938688039 181385642753 191190272091 210120002001 233210112111 336859050827 544156928259 573570816273 1010577152481 1632470784777 2358013355789 3031731457443 7074040067367 21222120202101