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12202100129 is a prime number
BaseRepresentation
bin10110101110100110…
…10100010110100001
31011111101101220121102
423113103110112201
5144442214201004
65334445204145
7611244065642
oct132723242641
934441356542
1012202100129
1151a184947a
122446560655
1311c5ca59bb
1483a7c96c9
154b639211e
hex2d74d45a1

12202100129 has 2 divisors, whose sum is σ = 12202100130. Its totient is φ = 12202100128.

The previous prime is 12202100101. The next prime is 12202100147. The reversal of 12202100129 is 92100120221.

It is a happy number.

12202100129 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., 11590675600 + 611424529 = 107660^2 + 24727^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202100129 - 28 = 12202099873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12202100129.

It is not a weakly prime, because it can be changed into another prime (12202105129) 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, 6101050064 + 6101050065.

It is an arithmetic number, because the mean of its divisors is an integer number (6101050065).

Almost surely, 212202100129 is an apocalyptic number.

It is an amenable number.

12202100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202100129 is an equidigital number, since it uses as much as digits as its factorization.

12202100129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 12202100129 in words is "twelve billion, two hundred two million, one hundred thousand, one hundred twenty-nine".