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20021000201 is a prime number
BaseRepresentation
bin10010101001010110…
…000011100000001001
31220200022001012002222
4102221112003200021
5312000334001301
613110355303425
71306065456656
oct225126034011
956608035088
1020021000201
118544372864
123a68baab75
131b70b4b3a7
14d7cdd0c2d
157c2a1831b
hex4a9583809

20021000201 has 2 divisors, whose sum is σ = 20021000202. Its totient is φ = 20021000200.

The previous prime is 20021000173. The next prime is 20021000267. The reversal of 20021000201 is 10200012002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11902810000 + 8118190201 = 109100^2 + 90101^2 .

It is a cyclic number.

It is not a de Polignac number, because 20021000201 - 210 = 20020999177 is a prime.

It is not a weakly prime, because it can be changed into another prime (20021000291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10010500100 + 10010500101.

It is an arithmetic number, because the mean of its divisors is an integer number (10010500101).

Almost surely, 220021000201 is an apocalyptic number.

It is an amenable number.

20021000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20021000201 is an equidigital number, since it uses as much as digits as its factorization.

20021000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20021000201 its reverse (10200012002), we get a palindrome (30221012203).

The spelling of 20021000201 in words is "twenty billion, twenty-one million, two hundred one", and thus it is an aban number.