11110121000100 has 216 divisors, whose sum is σ = 35060783966208. Its totient is φ = 2942610720000.

The previous prime is 11110121000087. The next prime is 11110121000107. The reversal of 11110121000100 is 100012101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11110121000107) 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 71 ways as a sum of consecutive naturals, for example, 104021725 + ... + 104128475.

It is an arithmetic number, because the mean of its divisors is an integer number (162318444288).

Almost surely, 2^{11110121000100} is an apocalyptic number.

11110121000100 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 11110121000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17530391983104).

11110121000100 is an abundant number, since it is smaller than the sum of its proper divisors (23950662966108).

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

11110121000100 is a wasteful number, since it uses less digits than its factorization.

11110121000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107555 (or 107545 counting only the distinct ones).

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

Adding to 11110121000100 its reverse (100012101111), we get a palindrome (11210133101211).

It can be divided in two parts, 1111012 and 1000100, that added together give a palindrome (2111112).

The spelling of 11110121000100 in words is "eleven trillion, one hundred ten billion, one hundred twenty-one million, one hundred", and thus it is an aban number.