11100001101111 has 112 divisors (see below), whose sum is σ = 19516421752800. Its totient is φ = 6248106014976.

The previous prime is 11100001101107. The next prime is 11100001101223. The reversal of 11100001101111 is 11110110000111.

It is not a de Polignac number, because 11100001101111 - 2² = 11100001101107 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 = 11100001101093 and 11100001101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001108111) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4158981 + ... + 6284673.

It is an arithmetic number, because the mean of its divisors is an integer number (174253765650).

Almost surely, 2^{11100001101111} is an apocalyptic number.

11100001101111 is a deficient number, since it is larger than the sum of its proper divisors (8416420651689).

11100001101111 is a wasteful number, since it uses less digits than its factorization.

11100001101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125772 (or 2125757 counting only the distinct ones).

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

Adding to 11100001101111 its reverse (11110110000111), we get a palindrome (22210111101222).

The spelling of 11100001101111 in words is "eleven trillion, one hundred billion, one million, one hundred one thousand, one hundred eleven".