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12201110122081 is a prime number
BaseRepresentation
bin1011000110001100101011…
…0101011010111001100001
31121012102012100020211111111
42301203022311122321201
53044400333142401311
641541040153543321
72366333611601026
oct261431265327141
947172170224444
1012201110122081
113984509644171
1214507a7114b41
136a67379c4a1a
143027732b554d
151625a3a79d21
hexb18cad5ae61

12201110122081 has 2 divisors, whose sum is σ = 12201110122082. Its totient is φ = 12201110122080.

The previous prime is 12201110122043. The next prime is 12201110122151. The reversal of 12201110122081 is 18022101110221.

It is a happy number.

12201110122081 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., 11723365123600 + 477744998481 = 3423940^2 + 691191^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201110122081 - 213 = 12201110113889 is a prime.

It is a super-2 number, since 2×122011101220812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12201110122021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100555061040 + 6100555061041.

It is an arithmetic number, because the mean of its divisors is an integer number (6100555061041).

Almost surely, 212201110122081 is an apocalyptic number.

It is an amenable number.

12201110122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201110122081 is an equidigital number, since it uses as much as digits as its factorization.

12201110122081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 12201110122081 in words is "twelve trillion, two hundred one billion, one hundred ten million, one hundred twenty-two thousand, eighty-one".