100240430324100 has 576 divisors, whose sum is σ = 328553971200000. Its totient is φ = 23373445939200.

The previous prime is 100240430324093. The next prime is 100240430324101. The reversal of 100240430324100 is 1423034042001.

100240430324100 is digitally balanced in base 3 and base 4, because in such bases 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 (100240430324101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32138642341 + ... + 32138645459.

It is an arithmetic number, because the mean of its divisors is an integer number (570406200000).

Almost surely, 2^{100240430324100} is an apocalyptic number.

100240430324100 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 100240430324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164276985600000).

100240430324100 is an abundant number, since it is smaller than the sum of its proper divisors (228313540875900).

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

100240430324100 is a wasteful number, since it uses less digits than its factorization.

100240430324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100240430324100 its reverse (1423034042001), we get a palindrome (101663464366101).

The spelling of 100240430324100 in words is "one hundred trillion, two hundred forty billion, four hundred thirty million, three hundred twenty-four thousand, one hundred".