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200100212202221 is a prime number
BaseRepresentation
bin101101011111110101110110…
…000100010101101011101101
3222020111101121211120101112122
4231133311312010111223231
5202211420213310432341
61545324433552442325
760101522540061422
oct5537656604255355
9866441554511478
10200100212202221
1158838029206091
121a5389182493a5
1387864a4a38966
14375ac8ad21d49
1518200ebc4394b
hexb5fd76115aed

200100212202221 has 2 divisors, whose sum is σ = 200100212202222. Its totient is φ = 200100212202220.

The previous prime is 200100212202217. The next prime is 200100212202223. The reversal of 200100212202221 is 122202212001002.

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., 200081336190121 + 18876012100 = 14145011^2 + 137390^2 .

It is a cyclic number.

It is not a de Polignac number, because 200100212202221 - 22 = 200100212202217 is a prime.

Together with 200100212202223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200100212202221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200100212202223) 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, 100050106101110 + 100050106101111.

It is an arithmetic number, because the mean of its divisors is an integer number (100050106101111).

Almost surely, 2200100212202221 is an apocalyptic number.

It is an amenable number.

200100212202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

200100212202221 is an equidigital number, since it uses as much as digits as its factorization.

200100212202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200100212202221 its reverse (122202212001002), we get a palindrome (322302424203223).

The spelling of 200100212202221 in words is "two hundred trillion, one hundred billion, two hundred twelve million, two hundred two thousand, two hundred twenty-one".