10001111011101 has 18 divisors (see below), whose sum is σ = 16804587890142. Its totient is φ = 5714920577520.

The previous prime is 10001111011097. The next prime is 10001111011159. The reversal of 10001111011101 is 10111011110001.

It can be written as a sum of positive squares in only one way, i.e., 5642995499001 + 4358115512100 = 2375499^2 + 2087610^2 .

It is not a de Polignac number, because 10001111011101 - 2² = 10001111011097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111031101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11339127690 + ... + 11339128571.

It is an arithmetic number, because the mean of its divisors is an integer number (933588216119).

Almost surely, 2^{10001111011101} is an apocalyptic number.

It is an amenable number.

10001111011101 is a deficient number, since it is larger than the sum of its proper divisors (6803476879041).

10001111011101 is a wasteful number, since it uses less digits than its factorization.

10001111011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678256281 (or 22678256271 counting only the distinct ones).

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

Adding to 10001111011101 its reverse (10111011110001), we get a palindrome (20112122121102).

The spelling of 10001111011101 in words is "ten trillion, one billion, one hundred eleven million, eleven thousand, one hundred one".