11000111101104 has 320 divisors, whose sum is σ = 30870024192000. Its totient is φ = 3365267558400.

The previous prime is 11000111101103. The next prime is 11000111101153. The reversal of 11000111101104 is 40110111100011.

It is a super-4 number, since 4×11000111101104⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11000111101104.

It is not an unprimeable number, because it can be changed into a prime (11000111101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6474461247 + ... + 6474462945.

It is an arithmetic number, because the mean of its divisors is an integer number (96468825600).

Almost surely, 2^{11000111101104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000111101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435012096000).

11000111101104 is an abundant number, since it is smaller than the sum of its proper divisors (19869913090896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000111101104 is a wasteful number, since it uses less digits than its factorization.

11000111101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11000111101104 its reverse (40110111100011), we get a palindrome (51110222201115).

The spelling of 11000111101104 in words is "eleven trillion, one hundred eleven million, one hundred one thousand, one hundred four".