Search a number
-
+
12000100220201 is a prime number
BaseRepresentation
bin1010111010011111110110…
…1101011111110100101001
31120111012100121122211001202
42232213331231133310221
53033102201124021301
641304434150053545
72345656445612462
oct256477555376451
946435317584052
1012000100220201
113907239806815
12141984934a2b5
136907b23ac692
142d6b45029d69
1515c23bb1a66b
hexae9fdb5fd29

12000100220201 has 2 divisors, whose sum is σ = 12000100220202. Its totient is φ = 12000100220200.

The previous prime is 12000100220111. The next prime is 12000100220209. The reversal of 12000100220201 is 10202200100021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10845324314176 + 1154775906025 = 3293224^2 + 1074605^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000100220201 - 230 = 11999026478377 is a prime.

It is not a weakly prime, because it can be changed into another prime (12000100220209) 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 as a sum of consecutive naturals, namely, 6000050110100 + 6000050110101.

It is an arithmetic number, because the mean of its divisors is an integer number (6000050110101).

Almost surely, 212000100220201 is an apocalyptic number.

It is an amenable number.

12000100220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000100220201 is an equidigital number, since it uses as much as digits as its factorization.

12000100220201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12000100220201 its reverse (10202200100021), we get a palindrome (22202300320222).

The spelling of 12000100220201 in words is "twelve trillion, one hundred million, two hundred twenty thousand, two hundred one".