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12200201000201 is a prime number
BaseRepresentation
bin1011000110001001010010…
…1001011001010100001001
31121012022211222120122201202
42301202110221121110021
53044342002424001301
641540410040153545
72366302232310644
oct261422451312411
947168758518652
1012200201000201
113984092451475
1214505927688b5
136a6621556396
143026c8662a5b
1516254dd4a66b
hexb1894a59509

12200201000201 has 2 divisors, whose sum is σ = 12200201000202. Its totient is φ = 12200201000200.

The previous prime is 12200201000159. The next prime is 12200201000269. The reversal of 12200201000201 is 10200010200221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9109018153225 + 3091182846976 = 3018115^2 + 1758176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200201000201 is a prime.

It is a super-3 number, since 3×122002010002013 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12200201008201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100100500100 + 6100100500101.

It is an arithmetic number, because the mean of its divisors is an integer number (6100100500101).

Almost surely, 212200201000201 is an apocalyptic number.

It is an amenable number.

12200201000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200201000201 is an equidigital number, since it uses as much as digits as its factorization.

12200201000201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200201000201 its reverse (10200010200221), we get a palindrome (22400211200422).

The spelling of 12200201000201 in words is "twelve trillion, two hundred billion, two hundred one million, two hundred one", and thus it is an aban number.