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212102122101102 = 232101173674380543
BaseRepresentation
bin110000001110011111011111…
…101001001101100101101110
31000210222202122120110102001200
4300032133133221031211232
5210300040121224213402
62031034211510350330
762450605212012312
oct6016373751154556
91023882576412050
10212102122101102
1161645006487212
121b95698b65b3a6
1391471b501690c
143a53b24423b42
15197c3e267a21c
hexc0e7dfa4d96e

212102122101102 has 48 divisors (see below), whose sum is σ = 466787329901568. Its totient is φ = 69596071934400.

The previous prime is 212102122101097. The next prime is 212102122101113. The reversal of 212102122101102 is 201101221201212.

212102122101102 is a `hidden beast` number, since 21 + 210 + 212 + 210 + 1 + 10 + 2 = 666.

It is a super-2 number, since 2×2121021221011022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336875758 + ... + 337504785.

It is an arithmetic number, because the mean of its divisors is an integer number (9724736039616).

Almost surely, 2212102122101102 is an apocalyptic number.

212102122101102 is an abundant number, since it is smaller than the sum of its proper divisors (254685207800466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212102122101102 is a wasteful number, since it uses less digits than its factorization.

212102122101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674380825 (or 674380822 counting only the distinct ones).

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

Adding to 212102122101102 its reverse (201101221201212), we get a palindrome (413203343302314).

The spelling of 212102122101102 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 101 173 202 303 346 519 606 909 1038 1557 1818 3114 17473 34946 52419 104838 157257 314514 674380543 1348761086 2023141629 4046283258 6069424887 12138849774 68112434843 116667833939 136224869686 204337304529 233335667878 350003501817 408674609058 613011913587 700007003634 1050010505451 1226023827174 2100021010902 11783451227839 23566902455678 35350353683517 70700707367034 106051061050551 212102122101102