10111000010001 has 24 divisors (see below), whose sum is σ = 15374141303136. Its totient is φ = 5861449271040.

The previous prime is 10111000009987. The next prime is 10111000010009. The reversal of 10111000010001 is 10001000011101.

It is not a de Polignac number, because 10111000010001 - 2⁵ = 10111000009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111000010009) 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 23 ways as a sum of consecutive naturals, for example, 289579840 + ... + 289614753.

It is an arithmetic number, because the mean of its divisors is an integer number (640589220964).

Almost surely, 2^{10111000010001} is an apocalyptic number.

10111000010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111000010001 is a deficient number, since it is larger than the sum of its proper divisors (5263141293135).

10111000010001 is a wasteful number, since it uses less digits than its factorization.

10111000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579194653 (or 579194630 counting only the distinct ones).

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

Adding to 10111000010001 its reverse (10001000011101), we get a palindrome (20112000021102).

The spelling of 10111000010001 in words is "ten trillion, one hundred eleven billion, ten thousand, one".