111001021120 has 112 divisors (see below), whose sum is σ = 289815897888. Its totient is φ = 40158863360.

The previous prime is 111001021099. The next prime is 111001021121. The reversal of 111001021120 is 21120100111.

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 = 111001021097 and 111001021106.

It is not an unprimeable number, because it can be changed into a prime (111001021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613404 + ... + 773476.

Almost surely, 2^111001021120 is an apocalyptic number.

111001021120 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 111001021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144907948944).

111001021120 is an abundant number, since it is smaller than the sum of its proper divisors (178814876768).

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

111001021120 is a wasteful number, since it uses less digits than its factorization.

111001021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160298 (or 160288 counting only the distinct ones).

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

Adding to 111001021120 its reverse (21120100111), we get a palindrome (132121121231).

The spelling of 111001021120 in words is "one hundred eleven billion, one million, twenty-one thousand, one hundred twenty".