11100001000000 has 784 divisors, whose sum is σ = 30943471418496. Its totient is φ = 3916800000000.

The previous prime is 11100000999973. The next prime is 11100001000001. The reversal of 11100001000000 is 10000111.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (11100001000001) 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, 107766999949 + ... + 107767000051.

It is an arithmetic number, because the mean of its divisors is an integer number (39468713544).

Almost surely, 2^{11100001000000} is an apocalyptic number.

11100001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471735709248).

11100001000000 is an abundant number, since it is smaller than the sum of its proper divisors (19843470418496).

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

11100001000000 is an equidigital number, since it uses as much as digits as its factorization.

11100001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11100001000000 its reverse (10000111), we get a palindrome (11100011000111).

The spelling of 11100001000000 in words is "eleven trillion, one hundred billion, one million", and thus it is an aban number.