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10000100220221 is a prime number
BaseRepresentation
bin1001000110000101010001…
…1010111101110100111101
31022102000000011210222010102
42101201110122331310331
52302320201124021341
633133552125050445
72051324543244446
oct221412432756475
938360004728112
1010000100220221
113206022965a51
1211561053b6a25
1357700bb48327
1426801657a2cd
151251d3b3cc9b
hex918546bdd3d

10000100220221 has 2 divisors, whose sum is σ = 10000100220222. Its totient is φ = 10000100220220.

The previous prime is 10000100220101. The next prime is 10000100220239. The reversal of 10000100220221 is 12202200100001.

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., 8818607308996 + 1181492911225 = 2969614^2 + 1086965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000100220221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102220221) 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, 5000050110110 + 5000050110111.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050110111).

Almost surely, 210000100220221 is an apocalyptic number.

It is an amenable number.

10000100220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100220221 is an equidigital number, since it uses as much as digits as its factorization.

10000100220221 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 11.

Adding to 10000100220221 its reverse (12202200100001), we get a palindrome (22202300320222).

The spelling of 10000100220221 in words is "ten trillion, one hundred million, two hundred twenty thousand, two hundred twenty-one".