120020101120 has 96 divisors (see below), whose sum is σ = 288692094600. Its totient is φ = 47888990208.

The previous prime is 120020101111. The next prime is 120020101127. The reversal of 120020101120 is 21101020021.

It can be written as a sum of positive squares in 4 ways, for example, as 103447143424 + 16572957696 = 321632^2 + 128736^2 .

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 = 120020101097 and 120020101106.

It is not an unprimeable number, because it can be changed into a prime (120020101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4173832 + ... + 4202488.

Almost surely, 2^120020101120 is an apocalyptic number.

120020101120 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 120020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144346047300).

120020101120 is an abundant number, since it is smaller than the sum of its proper divisors (168671993480).

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

120020101120 is an equidigital number, since it uses as much as digits as its factorization.

120020101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29093 (or 29073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120020101120 its reverse (21101020021), we get a palindrome (141121121141).

The spelling of 120020101120 in words is "one hundred twenty billion, twenty million, one hundred one thousand, one hundred twenty".