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200212200122101 is a prime number
BaseRepresentation
bin101101100001011110001001…
…000100010110011011110101
3222020220002200110121011022221
4231201132021010112123311
5202220234041212401401
61545452114234322341
760112565650511566
oct5541361104263365
9866802613534287
10200212200122101
11588805764a1892
121a5565708893b1
138793c110405cb
14376247213816d
151822ea36147a1
hexb617891166f5

200212200122101 has 2 divisors, whose sum is σ = 200212200122102. Its totient is φ = 200212200122100.

The previous prime is 200212200122029. The next prime is 200212200122149. The reversal of 200212200122101 is 101221002212002.

It is a happy number.

200212200122101 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., 118875430806001 + 81336769316100 = 10903001^2 + 9018690^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212200122101 - 29 = 200212200121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200212270122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106100061050 + 100106100061051.

It is an arithmetic number, because the mean of its divisors is an integer number (100106100061051).

Almost surely, 2200212200122101 is an apocalyptic number.

It is an amenable number.

200212200122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212200122101 is an equidigital number, since it uses as much as digits as its factorization.

200212200122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212200122101 its reverse (101221002212002), we get a palindrome (301433202334103).

The spelling of 200212200122101 in words is "two hundred trillion, two hundred twelve billion, two hundred million, one hundred twenty-two thousand, one hundred one".