101109120 has 128 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 23107584.

The previous prime is 101109103. The next prime is 101109131. The reversal of 101109120 is 21901101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101109120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9679 + ... + 17201.

It is an arithmetic number, because the mean of its divisors is an integer number (2877930).

Almost surely, 2^101109120 is an apocalyptic number.

101109120 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 101109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

101109120 is an abundant number, since it is smaller than the sum of its proper divisors (267265920).

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

101109120 is an equidigital number, since it uses as much as digits as its factorization.

101109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552 (or 7540 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101109120 is about 10055.3030784756. The cubic root of 101109120 is about 465.8686042384.

The spelling of 101109120 in words is "one hundred one million, one hundred nine thousand, one hundred twenty".