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12101210112201 = 3717195973414221
BaseRepresentation
bin1011000000011000100001…
…0101001000000011001001
31120211212100010202111220120
42300012020111020003021
53041231234242042301
641423115202013453
72356166160533640
oct260061025100311
946755303674816
1012101210112201
1139461046a3131
121435366947289
1369a1a6b24442
142db9b7642357
1515eba84e1e36
hexb01885480c9

12101210112201 has 128 divisors (see below), whose sum is σ = 21186958233600. Its totient is φ = 5978129080320.

The previous prime is 12101210112181. The next prime is 12101210112209. The reversal of 12101210112201 is 10221101210121.

It is a happy number.

It is not a de Polignac number, because 12101210112201 - 26 = 12101210112137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101210112209) 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, 29007271 + ... + 29421491.

It is an arithmetic number, because the mean of its divisors is an integer number (165523111200).

Almost surely, 212101210112201 is an apocalyptic number.

It is an amenable number.

12101210112201 is a deficient number, since it is larger than the sum of its proper divisors (9085748121399).

12101210112201 is a wasteful number, since it uses less digits than its factorization.

12101210112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414399.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12101210112201 its reverse (10221101210121), we get a palindrome (22322311322322).

The spelling of 12101210112201 in words is "twelve trillion, one hundred one billion, two hundred ten million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 7 17 19 21 51 57 59 73 119 133 177 219 323 357 399 413 511 969 1003 1121 1239 1241 1387 1533 2261 3009 3363 3723 4161 4307 6783 7021 7847 8687 9709 12921 19057 21063 23541 23579 26061 29127 30149 57171 70737 73219 81833 90447 133399 165053 219657 245499 400197 414221 495159 512533 572831 1242663 1391161 1537599 1718493 2899547 4173483 7041757 7870199 8698641 9738127 21125271 23610597 24439039 29214381 30238133 49292299 55091393 73317117 90714399 133793383 147876897 165274179 171073273 211666931 401380149 415463663 464341741 513219819 514048261 574524527 635000793 936553681 1246390989 1393025223 1542144783 1723573581 1784049847 2809661043 2908245641 3250392187 3598337827 4021671689 5352149541 7893809597 8724736923 9751176561 9766916959 10795013481 12065015067 12488348929 23681428791 29300750877 30328847399 33896947093 37465046787 55256667179 68368418713 90986542197 101690841279 165770001537 205105256139 212301931793 237278629651 576248100581 636905795379 711835888953 1728744301743 4033736704067 12101210112201