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12000110002101 = 32131725792339371
BaseRepresentation
bin1010111010011111111001…
…0010110011111110110101
31120111012101022001210022100
42232213332102303332311
53033102211130031401
641304435135452313
72345656625013234
oct256477622637665
946435338053270
1012000110002101
113907244288031
121419850687099
136907b4425ba0
142d6b46454b1b
1515c23c8edb86
hexae9fe4b3fb5

12000110002101 has 48 divisors (see below), whose sum is σ = 19772559293760. Its totient is φ = 6947592030720.

The previous prime is 12000110002091. The next prime is 12000110002121. The reversal of 12000110002101 is 10120001100021.

It is a happy number.

It is not a de Polignac number, because 12000110002101 - 26 = 12000110002037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000110002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3959946 + ... + 6299316.

It is an arithmetic number, because the mean of its divisors is an integer number (411928318620).

Almost surely, 212000110002101 is an apocalyptic number.

It is an amenable number.

12000110002101 is a deficient number, since it is larger than the sum of its proper divisors (7772449291659).

12000110002101 is a wasteful number, since it uses less digits than its factorization.

12000110002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341986 (or 2341983 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000110002101 its reverse (10120001100021), we get a palindrome (22120111102122).

The spelling of 12000110002101 in words is "twelve trillion, one hundred ten million, two thousand, one hundred one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 2579 7737 23211 33527 43843 100581 131529 301743 394587 569959 1709877 2339371 5129631 7018113 21054339 30411823 39769307 91235469 119307921 273706407 357923763 517000991 1551002973 4653008919 6033237809 18099713427 54299140281 78432091517 102565042753 235296274551 307695128259 705888823653 923085384777 1333345555789 4000036667367 12000110002101