11110100100012 has 144 divisors (see below), whose sum is σ = 28976324832000. Its totient is φ = 3586624272000.

The previous prime is 11110100099993. The next prime is 11110100100053. The reversal of 11110100100012 is 21000100101111.

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 = 11110100099967 and 11110100100003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568020289 + ... + 568039847.

It is an arithmetic number, because the mean of its divisors is an integer number (201224478000).

Almost surely, 2^{11110100100012} is an apocalyptic number.

11110100100012 is a gapful number since it is divisible by the number (12) 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 11110100100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14488162416000).

11110100100012 is an abundant number, since it is smaller than the sum of its proper divisors (17866224731988).

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

11110100100012 is a wasteful number, since it uses less digits than its factorization.

11110100100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556 (or 21551 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11110100100012 its reverse (21000100101111), we get a palindrome (32110200201123).

The spelling of 11110100100012 in words is "eleven trillion, one hundred ten billion, one hundred million, one hundred thousand, twelve".