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212100001201011 = 37111773838914127
BaseRepresentation
bin110000001110011101100001…
…001110100111101101110011
31000210222120011202121112002110
4300032131201032213231303
5210300021300301413021
62031033221224220403
762450501516450160
oct6016354116475563
91023876152545073
10212100001201011
1161644118273620
121b95649930a703
139146c377bba51
143a539a2897067
15197c31b385476
hexc0e7613a7b73

212100001201011 has 128 divisors (see below), whose sum is σ = 382995438206976. Its totient is φ = 101047679815680.

The previous prime is 212100001201007. The next prime is 212100001201051. The reversal of 212100001201011 is 110102100001212.

It is not a de Polignac number, because 212100001201011 - 22 = 212100001201007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212100001201051) 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, 19336630 + ... + 28250756.

It is an arithmetic number, because the mean of its divisors is an integer number (2992151860992).

Almost surely, 2212100001201011 is an apocalyptic number.

212100001201011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212100001201011 is a deficient number, since it is larger than the sum of its proper divisors (170895437005965).

212100001201011 is a wasteful number, since it uses less digits than its factorization.

212100001201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8914321.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212100001201011 its reverse (110102100001212), we get a palindrome (322202101202223).

The spelling of 212100001201011 in words is "two hundred twelve trillion, one hundred billion, one million, two hundred one thousand, eleven".

Divisors: 1 3 7 11 17 21 33 51 73 77 83 119 187 219 231 249 357 511 561 581 803 913 1241 1309 1411 1533 1743 2409 2739 3723 3927 4233 5621 6059 6391 8687 9877 13651 15521 16863 18177 19173 26061 29631 40953 42413 46563 66649 95557 103003 108647 127239 199947 286671 309009 325941 466543 721021 1133033 1399629 2163063 3399099 7931231 8914127 23793693 26742381 62398889 98055397 151540159 187196667 294166191 454620477 650731271 686387779 739872541 1060781113 1666941749 1952193813 2059163337 2219617623 3182343339 4555118897 5000825247 5179107787 7158043981 8138597951 11062431607 11668592243 12577833197 13665356691 15537323361 21474131943 24415793853 33187294821 35005776729 37733499591 50106307867 54010695493 56970185657 77437021249 88044832379 121686747677 138356165167 150318923601 162032086479 170910556971 232311063747 264134497137 365060243031 378074868451 415068495501 594117650423 851807233739 918181823381 968493156169 1134224605353 1782352951269 2555421701217 2754545470143 2905479468507 4158823552961 6427272763667 10100000057191 12476470658883 19281818291001 30300000171573 70700000400337 212100001201011