100242144420 has 192 divisors, whose sum is σ = 308694758400. Its totient is φ = 24103421440.

The previous prime is 100242144407. The next prime is 100242144421. The reversal of 100242144420 is 24441242001.

100242144420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100242144421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60132427 + ... + 60134093.

It is an arithmetic number, because the mean of its divisors is an integer number (1607785200).

Almost surely, 2^100242144420 is an apocalyptic number.

100242144420 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 100242144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154347379200).

100242144420 is an abundant number, since it is smaller than the sum of its proper divisors (208452613980).

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

100242144420 is a wasteful number, since it uses less digits than its factorization.

100242144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100242144420 its reverse (24441242001), we get a palindrome (124683386421).

The spelling of 100242144420 in words is "one hundred billion, two hundred forty-two million, one hundred forty-four thousand, four hundred twenty".