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12201200120101 is a prime number
BaseRepresentation
bin1011000110001101000000…
…1100101111000100100101
31121012102102121121012120111
42301203100030233010211
53044401024212320401
641541053130533021
72366336053554646
oct261432014570445
947172377535514
1012201200120101
113984555423aa3
121450811297171
136a6750545aa5
143027812216cd
151625ab905e51
hexb18d032f125

12201200120101 has 2 divisors, whose sum is σ = 12201200120102. Its totient is φ = 12201200120100.

The previous prime is 12201200120077. The next prime is 12201200120117. The reversal of 12201200120101 is 10102100210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8925096500100 + 3276103620001 = 2987490^2 + 1810001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201200120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201200120141) 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, 6100600060050 + 6100600060051.

It is an arithmetic number, because the mean of its divisors is an integer number (6100600060051).

Almost surely, 212201200120101 is an apocalyptic number.

It is an amenable number.

12201200120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201200120101 is an equidigital number, since it uses as much as digits as its factorization.

12201200120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12201200120101 its reverse (10102100210221), we get a palindrome (22303300330322).

The spelling of 12201200120101 in words is "twelve trillion, two hundred one billion, two hundred million, one hundred twenty thousand, one hundred one".