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200212208101 is a prime number
BaseRepresentation
bin1011101001110110010…
…0111101100111100101
3201010210010120222021201
42322131210331213211
511240013311124401
6231550510242501
720315305455343
oct2723544754745
9633703528251
10200212208101
1177a006322a4
12329767b6431
1315b5928c0b9
149994360993
15531bde0b01
hex2e9d93d9e5

200212208101 has 2 divisors, whose sum is σ = 200212208102. Its totient is φ = 200212208100.

The previous prime is 200212208089. The next prime is 200212208129. The reversal of 200212208101 is 101802212002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120547145601 + 79665062500 = 347199^2 + 282250^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212208101 - 27 = 200212207973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200212268101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106104050 + 100106104051.

It is an arithmetic number, because the mean of its divisors is an integer number (100106104051).

Almost surely, 2200212208101 is an apocalyptic number.

It is an amenable number.

200212208101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212208101 is an equidigital number, since it uses as much as digits as its factorization.

200212208101 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 19.

The spelling of 200212208101 in words is "two hundred billion, two hundred twelve million, two hundred eight thousand, one hundred one".