10001011110111 has 32 divisors (see below), whose sum is σ = 17928983508480. Its totient is φ = 5378695049088.

The previous prime is 10001011110109. The next prime is 10001011110121. The reversal of 10001011110111 is 11101111010001.

It is not a de Polignac number, because 10001011110111 - 2¹ = 10001011110109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001011110093 and 10001011110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001011110121) 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 31 ways as a sum of consecutive naturals, for example, 1556332161 + ... + 1556338586.

It is an arithmetic number, because the mean of its divisors is an integer number (560280734640).

Almost surely, 2^{10001011110111} is an apocalyptic number.

10001011110111 is a deficient number, since it is larger than the sum of its proper divisors (7927972398369).

10001011110111 is a wasteful number, since it uses less digits than its factorization.

10001011110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112670780 (or 3112670774 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001011110111 its reverse (11101111010001), we get a palindrome (21102122120112).

The spelling of 10001011110111 in words is "ten trillion, one billion, eleven million, one hundred ten thousand, one hundred eleven".