10100000110001 has 4 divisors (see below), whose sum is σ = 10100242538100. Its totient is φ = 10099757681904.

The previous prime is 10100000109961. The next prime is 10100000110019. The reversal of 10100000110001 is 10001100000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4884988460401 + 5215011649600 = 2210201^2 + 2283640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100000110001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100000110901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121151546 + ... + 121234883.

It is an arithmetic number, because the mean of its divisors is an integer number (2525060634525).

Almost surely, 2^{10100000110001} is an apocalyptic number.

It is an amenable number.

10100000110001 is a deficient number, since it is larger than the sum of its proper divisors (242428099).

10100000110001 is an equidigital number, since it uses as much as digits as its factorization.

10100000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242428098.

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

Adding to 10100000110001 its reverse (10001100000101), we get a palindrome (20101100110102).

The spelling of 10100000110001 in words is "ten trillion, one hundred billion, one hundred ten thousand, one".