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10001100001 is a prime number
BaseRepresentation
bin10010101000001110…
…01010110011100001
3221210222211112001011
421110013022303201
5130440240200001
64332222140521
7502556642644
oct112407126341
927728745034
1010001100001
1142723a6502
121b31421741
13c34cb4069
146ac36ba5b
153d8028d51
hex2541cace1

10001100001 has 2 divisors, whose sum is σ = 10001100002. Its totient is φ = 10001100000.

The previous prime is 10001099987. The next prime is 10001100019. The reversal of 10001100001 is 10000110001.

Adding to 10001100001 its reverse (10000110001), we get a palindrome (20001210002).

It can be divided in two parts, 1000110000 and 1, that added together give a palindrome (1000110001).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9101160000 + 899940001 = 95400^2 + 29999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10001100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550000 + 5000550001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550001).

Almost surely, 210001100001 is an apocalyptic number.

It is an amenable number.

10001100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100001 is an equidigital number, since it uses as much as digits as its factorization.

10001100001 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 4.

The spelling of 10001100001 in words is "ten billion, one million, one hundred thousand, one".