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212122102101201 = 32291723471693767
BaseRepresentation
bin110000001110110010000110…
…100010110111010011010001
31000211001200020000100120121100
4300032302012202313103101
5210300402031114214301
62031051314243215013
762452213302140415
oct6016620642672321
91024050200316540
10212122102101201
1161652529695a96
121b95a826977469
13914904a50b196
143a54a9bbc0d45
15197cbb1795286
hexc0ec868b74d1

212122102101201 has 24 divisors (see below), whose sum is σ = 317148021852480. Its totient is φ = 136459119728736.

The previous prime is 212122102101191. The next prime is 212122102101241. The reversal of 212122102101201 is 102101201221212.

212122102101201 is a `hidden beast` number, since 2 + 121 + 2 + 210 + 210 + 120 + 1 = 666.

It is not a de Polignac number, because 212122102101201 - 214 = 212122102084817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212122102101241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235397181 + ... + 236296586.

It is an arithmetic number, because the mean of its divisors is an integer number (13214500910520).

Almost surely, 2212122102101201 is an apocalyptic number.

It is an amenable number.

212122102101201 is a deficient number, since it is larger than the sum of its proper divisors (105025919751279).

212122102101201 is a wasteful number, since it uses less digits than its factorization.

212122102101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471695525 (or 471695522 counting only the distinct ones).

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

Adding to 212122102101201 its reverse (102101201221212), we get a palindrome (314223303322413).

The spelling of 212122102101201 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 29 87 261 1723 5169 15507 49967 149901 449703 471693767 1415081301 4245243903 13679119243 41037357729 123112073187 812728360541 2438185081623 7314555244869 23569122455689 70707367367067 212122102101201