100024441003100 has 72 divisors (see below), whose sum is σ = 219175224367008. Its totient is φ = 39618642528000.

The previous prime is 100024441003057. The next prime is 100024441003129. The reversal of 100024441003100 is 1300144420001.

It is a super-3 number, since 3×100024441003100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 154971050 + ... + 155615150.

Almost surely, 2^{100024441003100} is an apocalyptic number.

100024441003100 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 100024441003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109587612183504).

100024441003100 is an abundant number, since it is smaller than the sum of its proper divisors (119150783363908).

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

100024441003100 is a wasteful number, since it uses less digits than its factorization.

100024441003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659295 (or 659288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100024441003100 its reverse (1300144420001), we get a palindrome (101324585423101).

The spelling of 100024441003100 in words is "one hundred trillion, twenty-four billion, four hundred forty-one million, three thousand, one hundred".