120242310100 has 108 divisors (see below), whose sum is σ = 288009691200. Its totient is φ = 43540481600.

The previous prime is 120242310091. The next prime is 120242310101. The reversal of 120242310100 is 1013242021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120242310101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2871111 + ... + 2912689.

It is an arithmetic number, because the mean of its divisors is an integer number (2666756400).

Almost surely, 2^120242310100 is an apocalyptic number.

120242310100 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 120242310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144004845600).

120242310100 is an abundant number, since it is smaller than the sum of its proper divisors (167767381100).

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

120242310100 is a wasteful number, since it uses less digits than its factorization.

120242310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41854 (or 41836 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120242310100 its reverse (1013242021), we get a palindrome (121255552121).

The spelling of 120242310100 in words is "one hundred twenty billion, two hundred forty-two million, three hundred ten thousand, one hundred".