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2100122201 is a prime number
BaseRepresentation
bin111110100101101…
…0101001001011001
312102100202021001202
41331023111021121
513300112402301
6544220523545
7103020513152
oct17513251131
95370667052
102100122201
11988511991
124a73b05b5
13276131678
1415ccbc929
15c458d66b
hex7d2d5259

2100122201 has 2 divisors, whose sum is σ = 2100122202. Its totient is φ = 2100122200.

The previous prime is 2100122179. The next prime is 2100122209. The reversal of 2100122201 is 1022210012.

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., 1847280400 + 252841801 = 42980^2 + 15901^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122201 - 26 = 2100122137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100122209) 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, 1050061100 + 1050061101.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061101).

Almost surely, 22100122201 is an apocalyptic number.

It is an amenable number.

2100122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122201 is an equidigital number, since it uses as much as digits as its factorization.

2100122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2100122201 is about 45827.0902523824. The cubic root of 2100122201 is about 1280.6040038794.

Adding to 2100122201 its reverse (1022210012), we get a palindrome (3122332213).

The spelling of 2100122201 in words is "two billion, one hundred million, one hundred twenty-two thousand, two hundred one".