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12011100212101 is a prime number
BaseRepresentation
bin1010111011001000110101…
…0111001000101110000101
31120112020202020002022012011
42232302031113020232011
53033242213123241401
641313453454054221
72346526155162634
oct256621527105605
946466666068164
1012011100212101
113910973a39511
12141b9b91aa371
13691846303423
142d74a9cd751b
1515c6826a7451
hexaec8d5c8b85

12011100212101 has 2 divisors, whose sum is σ = 12011100212102. Its totient is φ = 12011100212100.

The previous prime is 12011100212053. The next prime is 12011100212117. The reversal of 12011100212101 is 10121200111021.

It is a happy number.

12011100212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11517376163076 + 493724049025 = 3393726^2 + 702655^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011100212101 - 219 = 12011099687813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011100212131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005550106050 + 6005550106051.

It is an arithmetic number, because the mean of its divisors is an integer number (6005550106051).

Almost surely, 212011100212101 is an apocalyptic number.

It is an amenable number.

12011100212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011100212101 is an equidigital number, since it uses as much as digits as its factorization.

12011100212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12011100212101 its reverse (10121200111021), we get a palindrome (22132300323122).

The spelling of 12011100212101 in words is "twelve trillion, eleven billion, one hundred million, two hundred twelve thousand, one hundred one".