120120020020100 has 144 divisors (see below), whose sum is σ = 264520660219200. Its totient is φ = 47341856593920.

The previous prime is 120120020020019. The next prime is 120120020020157. The reversal of 120120020020100 is 1020020021021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11812367816 + ... + 11812377984.

It is an arithmetic number, because the mean of its divisors is an integer number (1836949029300).

Almost surely, 2^{120120020020100} is an apocalyptic number.

120120020020100 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 120120020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132260330109600).

120120020020100 is an abundant number, since it is smaller than the sum of its proper divisors (144400640199100).

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

120120020020100 is a wasteful number, since it uses less digits than its factorization.

120120020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16662 (or 16655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120120020020100 its reverse (1020020021021), we get a palindrome (121140040041121).

The spelling of 120120020020100 in words is "one hundred twenty trillion, one hundred twenty billion, twenty million, twenty thousand, one hundred".