10111000001001 has 16 divisors (see below), whose sum is σ = 13931435432640. Its totient is φ = 6518719771200.

The previous prime is 10111000000967. The next prime is 10111000001023. The reversal of 10111000001001 is 10010000011101.

It is not a de Polignac number, because 10111000001001 - 2¹³ = 10110999992809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111000001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388006006 + ... + 388032063.

It is an arithmetic number, because the mean of its divisors is an integer number (870714714540).

Almost surely, 2^{10111000001001} is an apocalyptic number.

It is an amenable number.

10111000001001 is a deficient number, since it is larger than the sum of its proper divisors (3820435431639).

10111000001001 is a wasteful number, since it uses less digits than its factorization.

10111000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776038216.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10111000001001 its reverse (10010000011101), we get a palindrome (20121000012102).

The spelling of 10111000001001 in words is "ten trillion, one hundred eleven billion, one thousand, one".