101100120 has 128 divisors (see below), whose sum is σ = 333434880. Its totient is φ = 24320000.

The previous prime is 101100113. The next prime is 101100133. The reversal of 101100120 is 21001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 101100099 and 101100108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251920 + ... + 252320.

It is an arithmetic number, because the mean of its divisors is an integer number (2604960).

Almost surely, 2^101100120 is an apocalyptic number.

101100120 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 101100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166717440).

101100120 is an abundant number, since it is smaller than the sum of its proper divisors (232334760).

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

101100120 is a wasteful number, since it uses less digits than its factorization.

101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101100120 is about 10054.8555434675. The cubic root of 101100120 is about 465.8547810810.

Adding to 101100120 its reverse (21001101), we get a palindrome (122101221).

The spelling of 101100120 in words is "one hundred one million, one hundred thousand, one hundred twenty".