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.

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 2^k-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, 2^10001100001 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.

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).

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