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122002102020201 = 313317916723473259
BaseRepresentation
bin11011101111010111010011…
…111100111110100001101001
3120222222021202020221120112120
4123233113103330332201221
5111442340301104121301
61111250554131301453
734461234551442054
oct3357272374764151
9528867666846476
10122002102020201
113596788a002977
12118249a914a889
13530c997308580
14221ad0cb73a9b
15e1884be48e36
hex6ef5d3f3e869

122002102020201 has 128 divisors (see below), whose sum is σ = 184354170470400. Its totient is φ = 71254824526080.

The previous prime is 122002102020179. The next prime is 122002102020221. The reversal of 122002102020201 is 102020201200221.

It is not a de Polignac number, because 122002102020201 - 210 = 122002102019177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122002102020221) 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, 37435439310 + ... + 37435442568.

It is an arithmetic number, because the mean of its divisors is an integer number (1440266956800).

Almost surely, 2122002102020201 is an apocalyptic number.

It is an amenable number.

122002102020201 is a deficient number, since it is larger than the sum of its proper divisors (62352068450199).

122002102020201 is a wasteful number, since it uses less digits than its factorization.

122002102020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5899.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122002102020201 its reverse (102020201200221), we get a palindrome (224022303220422).

The spelling of 122002102020201 in words is "one hundred twenty-two trillion, two billion, one hundred two million, twenty thousand, two hundred one".

Divisors: 1 3 13 31 39 79 93 167 237 403 501 1027 1209 2171 2347 2449 3081 3259 5177 6513 7041 7347 9777 13193 15531 30511 31837 39579 42367 67301 72757 91533 95511 101029 127101 171509 185413 201903 218271 257461 303087 391949 408983 514527 544253 556239 772383 945841 1175847 1226949 1313377 1632759 2410369 2837523 3346993 3940131 5095337 5316779 5747803 7075289 7231107 7648873 7981291 10040979 12150419 15286011 15950337 16871843 17243409 21225867 22946619 23943873 30963971 36451257 42995987 50615529 74721439 92891913 99435349 103756783 128987961 157955447 219333959 224164317 237115063 298306047 311270349 402531623 473866341 558947831 604260967 658001877 711345189 959883101 1207594869 1277361791 1332875597 1676843493 1812782901 2879649303 3082495819 3832085373 3998626791 7855392571 9247487457 12478480313 16605703283 17327382761 18732089977 23566177713 37435440939 39598215521 49817109849 51982148283 56196269931 100911581489 118794646563 243517169701 302734744467 514776801773 730551509103 1311850559357 1544330405319 3128259026159 3935551678071 9384777078477 40667367340067 122002102020201