10001110000001 has 8 divisors (see below), whose sum is σ = 10376676097320. Its totient is φ = 9627590585088.

The previous prime is 10001109999971. The next prime is 10001110000009. The reversal of 10001110000001 is 10000001110001.

It can be written as a sum of positive squares in 4 ways, for example, as 17557575025 + 9983552424976 = 132505^2 + 3159676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001110000001 - 2¹⁰ = 10001109998977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001110000001.

It is not an unprimeable number, because it can be changed into a prime (10001110000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511660646 + ... + 511680191.

It is an arithmetic number, because the mean of its divisors is an integer number (1297084512165).

Almost surely, 2^{10001110000001} is an apocalyptic number.

It is an amenable number.

10001110000001 is a deficient number, since it is larger than the sum of its proper divisors (375566097319).

10001110000001 is a wasteful number, since it uses less digits than its factorization.

10001110000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023341203.

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

Adding to 10001110000001 its reverse (10000001110001), we get a palindrome (20001111110002).

Subtracting from 10001110000001 its reverse (10000001110001), we obtain a square (1108890000 = 33300²).

The spelling of 10001110000001 in words is "ten trillion, one billion, one hundred ten million, one", and thus it is an aban number.