111100021120 has 256 divisors, whose sum is σ = 307425715200. Its totient is φ = 37944524800.

The previous prime is 111100021063. The next prime is 111100021121. The reversal of 111100021120 is 21120001111.

111100021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111100021097 and 111100021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109027971 + ... + 109028989.

It is an arithmetic number, because the mean of its divisors is an integer number (1200881700).

Almost surely, 2^111100021120 is an apocalyptic number.

111100021120 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 111100021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153712857600).

111100021120 is an abundant number, since it is smaller than the sum of its proper divisors (196325694080).

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

111100021120 is a wasteful number, since it uses less digits than its factorization.

111100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111100021120 its reverse (21120001111), we get a palindrome (132220022231).

The spelling of 111100021120 in words is "one hundred eleven billion, one hundred million, twenty-one thousand, one hundred twenty".