100441121124300 has 576 divisors, whose sum is σ = 331459585228800. Its totient is φ = 23263090560000.

The previous prime is 100441121124299. The next prime is 100441121124307. The reversal of 100441121124300 is 3421121144001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100441121124307) 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, 2545306570 + ... + 2545346030.

It is an arithmetic number, because the mean of its divisors is an integer number (575450668800).

Almost surely, 2^{100441121124300} is an apocalyptic number.

100441121124300 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 100441121124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165729792614400).

100441121124300 is an abundant number, since it is smaller than the sum of its proper divisors (231018464104500).

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

100441121124300 is a wasteful number, since it uses less digits than its factorization.

100441121124300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39838 (or 39831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 100441121124300 its reverse (3421121144001), we get a palindrome (103862242268301).

The spelling of 100441121124300 in words is "one hundred trillion, four hundred forty-one billion, one hundred twenty-one million, one hundred twenty-four thousand, three hundred".