11000100100111 has 8 divisors (see below), whose sum is σ = 11058029466624. Its totient is φ = 10942174246680.

The previous prime is 11000100100109. The next prime is 11000100100133. The reversal of 11000100100111 is 11100100100011.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11000100100111 - 2¹ = 11000100100109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000100100094 and 11000100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100100711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5523096 + ... + 7246018.

It is an arithmetic number, because the mean of its divisors is an integer number (1382253683328).

Almost surely, 2^{11000100100111} is an apocalyptic number.

11000100100111 is a deficient number, since it is larger than the sum of its proper divisors (57929366513).

11000100100111 is a wasteful number, since it uses less digits than its factorization.

11000100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756541.

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

Adding to 11000100100111 its reverse (11100100100011), we get a palindrome (22100200200122).

The spelling of 11000100100111 in words is "eleven trillion, one hundred million, one hundred thousand, one hundred eleven".