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10010000011001 is a prime number
BaseRepresentation
bin1001000110101010001001…
…1111101010111011111001
31022102221120010000110001012
42101222202133222323321
52303000440000323001
633142310332003305
72052125063133314
oct221524237527371
938387503013035
1010010000011001
11320a243056321
121158008900535
13577c28b4a9b3
142686b529597b
151255b2d042bb
hex91aa27eaef9

10010000011001 has 2 divisors, whose sum is σ = 10010000011002. Its totient is φ = 10010000011000.

The previous prime is 10010000010919. The next prime is 10010000011097. The reversal of 10010000011001 is 10011000001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8058223367401 + 1951776643600 = 2838701^2 + 1397060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010000011001 - 242 = 5611953499897 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010000061001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000005500 + 5005000005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000005501).

Almost surely, 210010000011001 is an apocalyptic number.

It is an amenable number.

10010000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000011001 is an equidigital number, since it uses as much as digits as its factorization.

10010000011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010000011001 its reverse (10011000001001), we get a palindrome (20021000012002).

It can be divided in two parts, 100100000 and 11001, that added together give a palindrome (100111001).

The spelling of 10010000011001 in words is "ten trillion, ten billion, eleven thousand, one".