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12201000221101 is a prime number
BaseRepresentation
bin1011000110001100010001…
…0010001011100110101101
31121012101220200110021200211
42301203010102023212231
53044400122024033401
641541021230222421
72366331105501016
oct261430422134655
947171820407624
1012201000221101
1139844625aaa0a
121450776354a11
136a671acc5763
1430276286800d
151625990bb951
hexb18c448b9ad

12201000221101 has 2 divisors, whose sum is σ = 12201000221102. Its totient is φ = 12201000221100.

The previous prime is 12201000221089. The next prime is 12201000221117. The reversal of 12201000221101 is 10112200010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6905359118025 + 5295641103076 = 2627805^2 + 2301226^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201000221101 - 211 = 12201000219053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201000221131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100500110550 + 6100500110551.

It is an arithmetic number, because the mean of its divisors is an integer number (6100500110551).

Almost surely, 212201000221101 is an apocalyptic number.

It is an amenable number.

12201000221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201000221101 is an equidigital number, since it uses as much as digits as its factorization.

12201000221101 is an evil number, because the sum of its binary digits is even.

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

Adding to 12201000221101 its reverse (10112200010221), we get a palindrome (22313200231322).

The spelling of 12201000221101 in words is "twelve trillion, two hundred one billion, two hundred twenty-one thousand, one hundred one".