10110001110001 has 48 divisors (see below), whose sum is σ = 11657015088768. Its totient is φ = 8713409241600.

The previous prime is 10110001109947. The next prime is 10110001110017. The reversal of 10110001110001 is 10001110001101.

It is a happy number.

It is not a de Polignac number, because 10110001110001 - 2¹¹ = 10110001107953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110001110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573048150 + ... + 1573054576.

It is an arithmetic number, because the mean of its divisors is an integer number (242854481016).

Almost surely, 2^{10110001110001} is an apocalyptic number.

It is an amenable number.

10110001110001 is a deficient number, since it is larger than the sum of its proper divisors (1547013978767).

10110001110001 is a wasteful number, since it uses less digits than its factorization.

10110001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10110001110001 its reverse (10001110001101), we get a palindrome (20111111111102).

It can be divided in two parts, 101 and 10001110001, that multiplied together give a palindrome (1010112110101).

The spelling of 10110001110001 in words is "ten trillion, one hundred ten billion, one million, one hundred ten thousand, one".