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212102200201221 = 32119781219041659
BaseRepresentation
bin110000001110011111100100…
…010011001001000000000101
31000210222202212000102022021200
4300032133210103021000011
5210300040301222414341
62031034223340333113
762450610150603411
oct6016374423110005
91023882760368250
10212102200201221
116164504657aa70
121b9569b1844199
1391471c82602c5
143a53b30953d41
15197c3e9455db6
hexc0e7e44c9005

212102200201221 has 24 divisors (see below), whose sum is σ = 334255820826720. Its totient is φ = 128533644914400.

The previous prime is 212102200201189. The next prime is 212102200201223. The reversal of 212102200201221 is 122102002201212.

It is a happy number.

212102200201221 is a `hidden beast` number, since 2 + 1 + 21 + 0 + 220 + 0 + 201 + 221 = 666.

It is not a de Polignac number, because 212102200201221 - 25 = 212102200201189 is a prime.

It is a super-2 number, since 2×2121022002012212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212102200201194 and 212102200201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102200201223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108552511 + ... + 110489148.

It is an arithmetic number, because the mean of its divisors is an integer number (13927325867780).

Almost surely, 2212102200201221 is an apocalyptic number.

It is an amenable number.

212102200201221 is a deficient number, since it is larger than the sum of its proper divisors (122153620625499).

212102200201221 is a wasteful number, since it uses less digits than its factorization.

212102200201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219051457 (or 219051454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212102200201221 its reverse (122102002201212), we get a palindrome (334204202402433).

The spelling of 212102200201221 in words is "two hundred twelve trillion, one hundred two billion, two hundred million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 9781 29343 88029 107591 322773 968319 219041659 657124977 1971374931 2409458249 7228374747 21685124241 2142446466679 6427339400037 19282018200111 23566911133469 70700733400407 212102200201221