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212102112221121 = 31312574547461843
BaseRepresentation
bin110000001110011111011111…
…000011100001011111000001
31000210222202121212212110021110
4300032133133003201133001
5210300040111212033441
62031034210514513533
762450605032022563
oct6016373703413701
91023882555773243
10212102112221121
1161645000949241
121b9569882958a9
1391471b2c67885
143a53b22db1333
15197c3e1877b16
hexc0e7df0e17c1

212102112221121 has 32 divisors (see below), whose sum is σ = 286133950130688. Its totient is φ = 139744965201920.

The previous prime is 212102112221119. The next prime is 212102112221179. The reversal of 212102112221121 is 121122211201212.

It is a cyclic number.

It is not a de Polignac number, because 212102112221121 - 21 = 212102112221119 is a prime.

It is a super-2 number, since 2×2121021122211212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212102112221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459020626 + ... + 459482468.

It is an arithmetic number, because the mean of its divisors is an integer number (8941685941584).

Almost surely, 2212102112221121 is an apocalyptic number.

It is an amenable number.

212102112221121 is a deficient number, since it is larger than the sum of its proper divisors (74031837909567).

212102112221121 is a wasteful number, since it uses less digits than its factorization.

212102112221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466781.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212102112221121 its reverse (121122211201212), we get a palindrome (333224323422333).

The spelling of 212102112221121 in words is "two hundred twelve trillion, one hundred two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 131 257 393 771 4547 13641 33667 101001 461843 595657 1168579 1385529 1786971 3505737 60501433 118693651 153083849 181504299 356080953 459251547 2100000121 6300000363 15548868281 46646604843 275100015851 539700031097 825300047553 1619100093291 70700704073707 212102112221121