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12002003201101 is a prime number
BaseRepresentation
bin1010111010100110111100…
…1000110010110001001101
31120111101021020110021002211
42232221233020302301031
53033120100304413401
641305351045350421
72346054553645654
oct256515710626115
946441236407084
1012002003201101
113908025a08501
12141a09a708411
13690a26717c94
142d6c85a6c19b
1515c2edc16951
hexaea6f232c4d

12002003201101 has 2 divisors, whose sum is σ = 12002003201102. Its totient is φ = 12002003201100.

The previous prime is 12002003201081. The next prime is 12002003201207. The reversal of 12002003201101 is 10110230020021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11897159999076 + 104843202025 = 3449226^2 + 323795^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002003201101 - 219 = 12002002676813 is a prime.

It is a super-2 number, since 2×120020032011012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002003201501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001001600550 + 6001001600551.

It is an arithmetic number, because the mean of its divisors is an integer number (6001001600551).

Almost surely, 212002003201101 is an apocalyptic number.

It is an amenable number.

12002003201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002003201101 is an equidigital number, since it uses as much as digits as its factorization.

12002003201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12002003201101 its reverse (10110230020021), we get a palindrome (22112233221122).

The spelling of 12002003201101 in words is "twelve trillion, two billion, three million, two hundred one thousand, one hundred one".