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12002020102117 is a prime number
BaseRepresentation
bin1010111010100111000000…
…1001010000111111100101
31120111101022102020220221101
42232221300021100333211
53033120114121231432
641305352451520101
72346055150420033
oct256516011207745
946441272226841
1012002020102117
113908034501491
12141a0a42b9031
13690a2a084996
142d6c87dcb553
1515c3004544e7
hexaea70250fe5

12002020102117 has 2 divisors, whose sum is σ = 12002020102118. Its totient is φ = 12002020102116.

The previous prime is 12002020101997. The next prime is 12002020102153. The reversal of 12002020102117 is 71120102020021.

12002020102117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6982959515841 + 5019060586276 = 2642529^2 + 2240326^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002020102117 - 215 = 12002020069349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002020102094 and 12002020102103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002020132117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001010051058 + 6001010051059.

It is an arithmetic number, because the mean of its divisors is an integer number (6001010051059).

Almost surely, 212002020102117 is an apocalyptic number.

It is an amenable number.

12002020102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002020102117 is an equidigital number, since it uses as much as digits as its factorization.

12002020102117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 12002020102117 its reverse (71120102020021), we get a palindrome (83122122122138).

The spelling of 12002020102117 in words is "twelve trillion, two billion, twenty million, one hundred two thousand, one hundred seventeen".