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20022101200101 = 37111337243773943
BaseRepresentation
bin1001000110101110000100…
…01110101100110011100101
32121220002112122202210120110
410203113002032230303211
510111020230401400401
6110330005403323233
74134356222101410
oct443270216546345
977802478683513
1020022101200101
11641a364174870
1222b4501220519
13b230cb0a9830
144d3109622b77
1524ac4a3049d6
hex1235c23acce5

20022101200101 has 128 divisors (see below), whose sum is σ = 36828115623936. Its totient is φ = 9337561390080.

The previous prime is 20022101200097. The next prime is 20022101200111. The reversal of 20022101200101 is 10100210122002.

It is not a de Polignac number, because 20022101200101 - 22 = 20022101200097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022101200111) 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, 270740536 + ... + 270814478.

It is an arithmetic number, because the mean of its divisors is an integer number (287719653312).

Almost surely, 220022101200101 is an apocalyptic number.

20022101200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20022101200101 is a deficient number, since it is larger than the sum of its proper divisors (16806014423835).

20022101200101 is a wasteful number, since it uses less digits than its factorization.

20022101200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76451.

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

Adding to 20022101200101 its reverse (10100210122002), we get a palindrome (30122311322103).

It can be divided in two parts, 20022101 and 200101, that added together give a palindrome (20222202).

The spelling of 20022101200101 in words is "twenty trillion, twenty-two billion, one hundred one million, two hundred thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2437 2849 3003 3367 5291 7311 8547 10101 15873 17059 26807 31681 37037 51177 73943 80421 90169 95043 111111 187649 221767 221829 270507 348491 517601 562947 631183 665301 813373 961259 991859 1045473 1172197 1552803 1893549 2439437 2440119 2735891 2883777 2975577 3516591 5693611 6728813 6943013 7318311 8205379 8207673 10573849 12894167 17080833 19151237 20186439 20829039 24616137 30094801 31721547 35566583 38682501 57453711 74016943 90259169 90284403 106699749 180199091 210663607 222050829 248966081 270777507 391232413 540597273 631990821 746898243 1173697239 1261393637 1982190001 2342588183 2738626891 3784180911 5946570003 6667366367 7027764549 8215880673 13875330007 16398117281 20002099101 25768470013 41625990021 46671564569 49194351843 73341030037 77305410039 86675762771 140014693707 180379290091 220023090111 260027288313 513387210259 541137870273 606730339397 953433390481 1540161630777 1820191018191 2860300171443 6674033733367 20022101200101