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12012212112101 is a prime number
BaseRepresentation
bin1010111011001100111110…
…1000101100101011100101
31120112100121201022200020122
42232303033220230223211
53033302002300041401
641314200054011325
72346565546160615
oct256631750545345
946470551280218
1012012212112101
113911394641433
121420069646b45
1369199278c716
142d7573852a45
1515c6ea0de21b
hexaeccfa2cae5

12012212112101 has 2 divisors, whose sum is σ = 12012212112102. Its totient is φ = 12012212112100.

The previous prime is 12012212112079. The next prime is 12012212112149. The reversal of 12012212112101 is 10121121221021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9535286981476 + 2476925130625 = 3087926^2 + 1573825^2 .

It is a cyclic number.

It is not a de Polignac number, because 12012212112101 - 26 = 12012212112037 is a prime.

It is a super-3 number, since 3×120122121121013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12012212112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12012212112701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006106056050 + 6006106056051.

It is an arithmetic number, because the mean of its divisors is an integer number (6006106056051).

Almost surely, 212012212112101 is an apocalyptic number.

It is an amenable number.

12012212112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12012212112101 is an equidigital number, since it uses as much as digits as its factorization.

12012212112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12012212112101 its reverse (10121121221021), we get a palindrome (22133333333122).

The spelling of 12012212112101 in words is "twelve trillion, twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred one".