120101120 has 72 divisors (see below), whose sum is σ = 290840760. Its totient is φ = 47513600.

The previous prime is 120101119. The next prime is 120101153. The reversal of 120101120 is 21101021.

It can be written as a sum of positive squares in 4 ways, for example, as 9935104 + 110166016 = 3152^2 + 10496^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 120101098 and 120101107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128816 + ... + 129744.

It is an arithmetic number, because the mean of its divisors is an integer number (4039455).

Almost surely, 2^120101120 is an apocalyptic number.

120101120 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 120101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145420380).

120101120 is an abundant number, since it is smaller than the sum of its proper divisors (170739640).

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

120101120 is an equidigital number, since it uses as much as digits as its factorization.

120101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 120101120 is about 10959.0656536039. The cubic root of 120101120 is about 493.3809222820.

Adding to 120101120 its reverse (21101021), we get a palindrome (141202141).

Subtracting from 120101120 its reverse (21101021), we obtain a palindrome (99000099).

The spelling of 120101120 in words is "one hundred twenty million, one hundred one thousand, one hundred twenty".