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12111000110101 is a prime number
BaseRepresentation
bin1011000000111100111111…
…0111000000010000010101
31120212210121102100221022101
42300033033313000100111
53041411312012010401
641431414443402101
72356663605252604
oct260171767002025
946783542327271
1012111000110101
11394a278913492
121437239523331
1369b0a7164ac9
142dc26593ba3b
1516007cc1c101
hexb03cfdc0415

12111000110101 has 2 divisors, whose sum is σ = 12111000110102. Its totient is φ = 12111000110100.

The previous prime is 12111000110089. The next prime is 12111000110161. The reversal of 12111000110101 is 10101100011121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9140651269201 + 2970348840900 = 3023351^2 + 1723470^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111000110101 - 219 = 12110999585813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111000110161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055500055050 + 6055500055051.

It is an arithmetic number, because the mean of its divisors is an integer number (6055500055051).

Almost surely, 212111000110101 is an apocalyptic number.

It is an amenable number.

12111000110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111000110101 is an equidigital number, since it uses as much as digits as its factorization.

12111000110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 12111000110101 its reverse (10101100011121), we get a palindrome (22212100121222).

The spelling of 12111000110101 in words is "twelve trillion, one hundred eleven billion, one hundred ten thousand, one hundred one".