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2012101222129 is a prime number
BaseRepresentation
bin11101010001111010100…
…101000001111011110001
321010100120210102121222021
4131101322211001323301
5230431240403102004
64140202504111441
7265240513124035
oct35217245017361
97110523377867
102012101222129
11706366759109
12285b60765581
13117981679a3b
146d559ada1c5
1537515594d54
hex1d47a941ef1

2012101222129 has 2 divisors, whose sum is σ = 2012101222130. Its totient is φ = 2012101222128.

The previous prime is 2012101222093. The next prime is 2012101222141. The reversal of 2012101222129 is 9212221012102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2008455840000 + 3645382129 = 1417200^2 + 60377^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012101222129 - 213 = 2012101213937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012101252129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006050611064 + 1006050611065.

It is an arithmetic number, because the mean of its divisors is an integer number (1006050611065).

Almost surely, 22012101222129 is an apocalyptic number.

It is an amenable number.

2012101222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012101222129 is an equidigital number, since it uses as much as digits as its factorization.

2012101222129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 2012101222129 in words is "two trillion, twelve billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-nine".