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12011102020081 is a prime number
BaseRepresentation
bin1010111011001000110101…
…1110000010000111110001
31120112020202100111011021101
42232302031132002013301
53033242214104120311
641313454000524401
72346526206433003
oct256621536020761
946466670434241
1012011102020081
113910974a6390a
12141b9b9920701
136918467b7338
142d74aa248373
1515c682912ec1
hexaec8d7821f1

12011102020081 has 2 divisors, whose sum is σ = 12011102020082. Its totient is φ = 12011102020080.

The previous prime is 12011102020067. The next prime is 12011102020117. The reversal of 12011102020081 is 18002020111021.

12011102020081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8581290619456 + 3429811400625 = 2929384^2 + 1851975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011102020081 is a prime.

It is a super-4 number, since 4×120111020200814 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12011102020051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005551010040 + 6005551010041.

It is an arithmetic number, because the mean of its divisors is an integer number (6005551010041).

Almost surely, 212011102020081 is an apocalyptic number.

It is an amenable number.

12011102020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011102020081 is an equidigital number, since it uses as much as digits as its factorization.

12011102020081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 12011102020081 in words is "twelve trillion, eleven billion, one hundred two million, twenty thousand, eighty-one".