100118325120 has 256 divisors, whose sum is σ = 353339815680. Its totient is φ = 23908515840.

The previous prime is 100118325113. The next prime is 100118325133. The reversal of 100118325120 is 21523811001.

100118325120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1379664 + ... + 1450416.

It is an arithmetic number, because the mean of its divisors is an integer number (1380233655).

Almost surely, 2^100118325120 is an apocalyptic number.

100118325120 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 100118325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176669907840).

100118325120 is an abundant number, since it is smaller than the sum of its proper divisors (253221490560).

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

100118325120 is a wasteful number, since it uses less digits than its factorization.

100118325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70853 (or 70841 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 100118325120 in words is "one hundred billion, one hundred eighteen million, three hundred twenty-five thousand, one hundred twenty".