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200100101112221 is a prime number
BaseRepresentation
bin101101011111110101101111…
…011100100100000110011101
3222020111101100002112102201012
4231133311233130210012131
5202211420001341042341
61545324414543425005
760101520020610032
oct5537655734440635
9866441302472635
10200100101112221
1158837a8152a572
121a5388a6bb5165
138786487a1142b
14375ac7a285389
1518200e20ed0eb
hexb5fd6f72419d

200100101112221 has 2 divisors, whose sum is σ = 200100101112222. Its totient is φ = 200100101112220.

The previous prime is 200100101112167. The next prime is 200100101112257. The reversal of 200100101112221 is 122211101001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162592744406596 + 37507356705625 = 12751186^2 + 6124325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200100101112221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200100101112196 and 200100101112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200100101112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100050050556110 + 100050050556111.

It is an arithmetic number, because the mean of its divisors is an integer number (100050050556111).

Almost surely, 2200100101112221 is an apocalyptic number.

It is an amenable number.

200100101112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

200100101112221 is an equidigital number, since it uses as much as digits as its factorization.

200100101112221 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 14.

Adding to 200100101112221 its reverse (122211101001002), we get a palindrome (322311202113223).

The spelling of 200100101112221 in words is "two hundred trillion, one hundred billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".