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10110100001 is a prime number
BaseRepresentation
bin10010110101001101…
…11110001000100001
3222002120221021221012
421122212332020201
5131201141200001
64351114310305
7505352301131
oct113246761041
928076837835
1010110100001
114318984851
121b61a28395
13c517591c1
146bca22ac1
153e28aa2bb
hex25a9be221

10110100001 has 2 divisors, whose sum is σ = 10110100002. Its totient is φ = 10110100000.

The previous prime is 10110099997. The next prime is 10110100009. The reversal of 10110100001 is 10000101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9766182976 + 343917025 = 98824^2 + 18545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110100001 - 22 = 10110099997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10110100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055050000 + 5055050001.

It is an arithmetic number, because the mean of its divisors is an integer number (5055050001).

Almost surely, 210110100001 is an apocalyptic number.

It is an amenable number.

10110100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110100001 is an equidigital number, since it uses as much as digits as its factorization.

10110100001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10110100001 its reverse (10000101101), we get a palindrome (20110201102).

The spelling of 10110100001 in words is "ten billion, one hundred ten million, one hundred thousand, one".