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2200100111201 is a prime number
BaseRepresentation
bin100000000001000000001…
…011111000001101100001
321210022211202111201012202
4200001000023320031201
5242021301112024301
64402413444502545
7314644350246326
oct40010013701541
97708752451182
102200100111201
1177906a17a013
122b64890aaa55
1312c612535835
14786b1d90b4d
153c36a12966b
hex200402f8361

2200100111201 has 2 divisors, whose sum is σ = 2200100111202. Its totient is φ = 2200100111200.

The previous prime is 2200100111189. The next prime is 2200100111203. The reversal of 2200100111201 is 1021110010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1781626970176 + 418473141025 = 1334776^2 + 646895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200100111201 is a prime.

It is a Sophie Germain prime.

Together with 2200100111203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2200100111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050055600 + 1100050055601.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050055601).

Almost surely, 22200100111201 is an apocalyptic number.

It is an amenable number.

2200100111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200100111201 is an equidigital number, since it uses as much as digits as its factorization.

2200100111201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2200100111201 its reverse (1021110010022), we get a palindrome (3221210121223).

The spelling of 2200100111201 in words is "two trillion, two hundred billion, one hundred million, one hundred eleven thousand, two hundred one".