10110001011001 has 16 divisors (see below), whose sum is σ = 10613419891200. Its totient is φ = 9617675443200.

The previous prime is 10110001010933. The next prime is 10110001011091. The reversal of 10110001011001 is 10011010001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10110001011001 - 2⁷ = 10110001010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110001011091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55747011 + ... + 55928071.

It is an arithmetic number, because the mean of its divisors is an integer number (663338743200).

Almost surely, 2^{10110001011001} is an apocalyptic number.

It is an amenable number.

10110001011001 is a deficient number, since it is larger than the sum of its proper divisors (503418880199).

10110001011001 is a wasteful number, since it uses less digits than its factorization.

10110001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211680.

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

Adding to 10110001011001 its reverse (10011010001101), we get a palindrome (20121011012102).

The spelling of 10110001011001 in words is "ten trillion, one hundred ten billion, one million, eleven thousand, one".