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12201114012121 is a prime number
BaseRepresentation
bin1011000110001100101100…
…0100010000100111011001
31121012102012121120110122001
42301203023010100213121
53044400340141341441
641541040413201001
72366333656632166
oct261431304204731
947172177513561
1012201114012121
113984510860881
1214507a8490161
136a6738757518
14302773a0906d
151625a4097731
hexb18cb1109d9

12201114012121 has 2 divisors, whose sum is σ = 12201114012122. Its totient is φ = 12201114012120.

The previous prime is 12201114012083. The next prime is 12201114012127. The reversal of 12201114012121 is 12121041110221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10551972624400 + 1649141387721 = 3248380^2 + 1284189^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201114012121 - 29 = 12201114011609 is a prime.

It is a super-3 number, since 3×122011140121213 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12201114012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100557006060 + 6100557006061.

It is an arithmetic number, because the mean of its divisors is an integer number (6100557006061).

Almost surely, 212201114012121 is an apocalyptic number.

It is an amenable number.

12201114012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201114012121 is an equidigital number, since it uses as much as digits as its factorization.

12201114012121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12201114012121 its reverse (12121041110221), we get a palindrome (24322155122342).

The spelling of 12201114012121 in words is "twelve trillion, two hundred one billion, one hundred fourteen million, twelve thousand, one hundred twenty-one".