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21211212002121 = 3419671016173301
BaseRepresentation
bin1001101001010100111101…
…10000011011001101001001
32210002202211211112100010000
410310222132300123031021
510240011030233031441
6113040143554513213
74316313415123521
oct464523660331511
983082754470100
1021211212002121
116838696222289
122466a5bb95809
13bab2936c330b
145348b1880681
1526bb4403b2b6
hex134a9ec1b349

21211212002121 has 160 divisors (see below), whose sum is σ = 34252320136320. Its totient is φ = 13040818560000.

The previous prime is 21211212002093. The next prime is 21211212002171. The reversal of 21211212002121 is 12120021211212.

21211212002121 is a `hidden beast` number, since 21 + 211 + 21 + 200 + 212 + 1 = 666.

It is not a de Polignac number, because 21211212002121 - 211 = 21211212000073 is a prime.

It is a super-2 number, since 2×212112120021212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211212002094 and 21211212002103.

It is not an unprimeable number, because it can be changed into a prime (21211212002171) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6425691171 + ... + 6425694471.

It is an arithmetic number, because the mean of its divisors is an integer number (214077000852).

Almost surely, 221211212002121 is an apocalyptic number.

It is an amenable number.

21211212002121 is a deficient number, since it is larger than the sum of its proper divisors (13041108134199).

21211212002121 is a wasteful number, since it uses less digits than its factorization.

21211212002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211212002121 its reverse (12120021211212), we get a palindrome (33331233213333).

The spelling of 21211212002121 in words is "twenty-one trillion, two hundred eleven billion, two hundred twelve million, two thousand, one hundred twenty-one".

Divisors: 1 3 9 19 27 57 67 81 101 171 201 303 513 603 617 909 1273 1539 1809 1851 1919 2727 3301 3819 5427 5553 5757 6767 8181 9903 11457 11723 16659 17271 20301 29709 34371 35169 41339 49977 51813 60903 62317 62719 89127 103113 105507 124017 128573 155439 182709 186951 188157 221167 267381 316521 333401 372051 385719 548127 560853 564471 663501 785441 949563 1000203 1116153 1157157 1184023 1682559 1693413 1990503 2036717 2356323 3000609 3348459 3471471 3552069 4175239 4202173 5047677 5080239 5971509 6110151 6334619 7068969 9001827 10414413 10656207 12525717 12606519 17914527 18330453 19003857 21206907 22337867 27005481 31968621 37577151 37819557 38697623 54991359 57011571 63620721 67013601 79329541 95905863 112731453 113458671 116092869 136460039 164974077 171034713 201040803 205708417 237988623 338194359 340376013 348278607 409380117 424419473 513104139 603122409 617125251 713965869 1044835821 1228140351 1273258419 1809367227 1851375753 2141897607 2592740741 3134507463 3684421053 3819775257 3908459923 5554127259 6425692821 7778222223 11053263159 11459325771 11725379769 13782463939 16662381777 23334666669 34377977313 35176139307 41347391817 70004000007 105528417921 124042175451 210012000021 261866814841 316585253763 372126526353 785600444523 1116379579059 2356801333569 7070404000707 21211212002121