100120220120 has 64 divisors (see below), whose sum is σ = 232820179200. Its totient is φ = 38709066240.

The previous prime is 100120220093. The next prime is 100120220141. The reversal of 100120220120 is 21022021001.

It is a happy number.

100120220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979262 + ... + 1076658.

It is an arithmetic number, because the mean of its divisors is an integer number (3637815300).

Almost surely, 2^100120220120 is an apocalyptic number.

100120220120 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 100120220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116410089600).

100120220120 is an abundant number, since it is smaller than the sum of its proper divisors (132699959080).

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

100120220120 is a wasteful number, since it uses less digits than its factorization.

100120220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98268 (or 98264 counting only the distinct ones).

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

Adding to 100120220120 its reverse (21022021001), we get a palindrome (121142241121).

The spelling of 100120220120 in words is "one hundred billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".