100100448000 has 1008 divisors, whose sum is σ = 427980536256. Its totient is φ = 22842777600.

The previous prime is 100100447971. The next prime is 100100448001. The reversal of 100100448000 is 844001001.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163295694 + ... + 163296306.

Almost surely, 2^100100448000 is an apocalyptic number.

100100448000 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 100100448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213990268128).

100100448000 is an abundant number, since it is smaller than the sum of its proper divisors (327880088256).

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

100100448000 is an frugal number, since it uses more digits than its factorization.

100100448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100100448000 its reverse (844001001), we get a palindrome (100944449001).

The spelling of 100100448000 in words is "one hundred billion, one hundred million, four hundred forty-eight thousand".