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12201101020201 = 411987353342391
BaseRepresentation
bin1011000110001100101001…
…0010101100110000101001
31121012102011201010102001211
42301203022102230300221
53044400323330121301
641541035230513121
72366333441331652
oct261431222546051
947172151112054
1012201101020201
113984504497855
1214507a40657a1
136a6735b58bb2
14302771dc6529
151625a2d7d051
hexb18ca4acc29

12201101020201 has 16 divisors (see below), whose sum is σ = 12508813634688. Its totient is φ = 11893874371200.

The previous prime is 12201101020151. The next prime is 12201101020247. The reversal of 12201101020201 is 10202010110221.

It is a cyclic number.

It is not a de Polignac number, because 12201101020201 - 211 = 12201101018153 is a prime.

It is a super-3 number, since 3×122011010202013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201101020301) 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 15 ways as a sum of consecutive naturals, for example, 287801716 + ... + 287844106.

It is an arithmetic number, because the mean of its divisors is an integer number (781800852168).

Almost surely, 212201101020201 is an apocalyptic number.

It is an amenable number.

12201101020201 is a deficient number, since it is larger than the sum of its proper divisors (307712614487).

12201101020201 is a wasteful number, since it uses less digits than its factorization.

12201101020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47952.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201101020201 its reverse (10202010110221), we get a palindrome (22403111130422).

The spelling of 12201101020201 in words is "twelve trillion, two hundred one billion, one hundred one million, twenty thousand, two hundred one".

Divisors: 1 41 1987 3533 42391 81467 144853 1738031 7020071 84230917 149767403 287822911 3453467597 6140463523 297587829761 12201101020201