10000110010001 has 32 divisors (see below), whose sum is σ = 10621808541696. Its totient is φ = 9399657960000.

The previous prime is 10000110009971. The next prime is 10000110010109. The reversal of 10000110010001 is 10001001100001.

It is a cyclic number.

It is not a de Polignac number, because 10000110010001 - 2³⁸ = 9725232103057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000110010801) 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 31 ways as a sum of consecutive naturals, for example, 1010005151 + ... + 1010015051.

It is an arithmetic number, because the mean of its divisors is an integer number (331931516928).

Almost surely, 2^{10000110010001} is an apocalyptic number.

It is an amenable number.

10000110010001 is a deficient number, since it is larger than the sum of its proper divisors (621698531695).

10000110010001 is a wasteful number, since it uses less digits than its factorization.

10000110010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14133.

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

Adding to 10000110010001 its reverse (10001001100001), we get a palindrome (20001111110002).

The spelling of 10000110010001 in words is "ten trillion, one hundred ten million, ten thousand, one".