111001101120 has 672 divisors, whose sum is σ = 482646947328. Its totient is φ = 22785048576.

The previous prime is 111001101097. The next prime is 111001101143. The reversal of 111001101120 is 21101100111.

It is an interprime number because it is at equal distance from previous prime (111001101097) and next prime (111001101143).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9691237 + ... + 9702683.

It is an arithmetic number, because the mean of its divisors is an integer number (718224624).

Almost surely, 2^111001101120 is an apocalyptic number.

111001101120 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 111001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241323473664).

111001101120 is an abundant number, since it is smaller than the sum of its proper divisors (371645846208).

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

111001101120 is a wasteful number, since it uses less digits than its factorization.

111001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11527 (or 11514 counting only the distinct ones).

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

Adding to 111001101120 its reverse (21101100111), we get a palindrome (132102201231).

The spelling of 111001101120 in words is "one hundred eleven billion, one million, one hundred one thousand, one hundred twenty".