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12002010101 is a prime number
BaseRepresentation
bin10110010110110000…
…00010001111110101
31010222102220021200122
423023120002033311
5144040003310401
65302540421325
7603264255044
oct131330021765
933872807618
1012002010101
1150a9904914
1223ab547845
1311936b9733
1481bdc255b
154a3a1b21b
hex2cb6023f5

12002010101 has 2 divisors, whose sum is σ = 12002010102. Its totient is φ = 12002010100.

The previous prime is 12002010071. The next prime is 12002010131. The reversal of 12002010101 is 10101020021.

12002010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12002010071) and next prime (12002010131).

It can be written as a sum of positive squares in only one way, i.e., 8023680625 + 3978329476 = 89575^2 + 63074^2 .

It is an emirp because it is prime and its reverse (10101020021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002010101 - 26 = 12002010037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001005050 + 6001005051.

It is an arithmetic number, because the mean of its divisors is an integer number (6001005051).

Almost surely, 212002010101 is an apocalyptic number.

It is an amenable number.

12002010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002010101 is an equidigital number, since it uses as much as digits as its factorization.

12002010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12002010101 its reverse (10101020021), we get a palindrome (22103030122).

The spelling of 12002010101 in words is "twelve billion, two million, ten thousand, one hundred one".