100327113237120 has 768 divisors, whose sum is σ = 418913416396800. Its totient is φ = 20174695833600.

The previous prime is 100327113237103. The next prime is 100327113237179. The reversal of 100327113237120 is 21732311723001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30517641 + ... + 33644919.

It is an arithmetic number, because the mean of its divisors is an integer number (545460177600).

Almost surely, 2^{100327113237120} is an apocalyptic number.

100327113237120 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 100327113237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209456708198400).

100327113237120 is an abundant number, since it is smaller than the sum of its proper divisors (318586303159680).

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

100327113237120 is a wasteful number, since it uses less digits than its factorization.

100327113237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127357 (or 3127338 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 100327113237120 in words is "one hundred trillion, three hundred twenty-seven billion, one hundred thirteen million, two hundred thirty-seven thousand, one hundred twenty".