100001099968 has 224 divisors, whose sum is σ = 261904642560. Its totient is φ = 36740874240.

The previous prime is 100001099963. The next prime is 100001099993. The reversal of 100001099968 is 869990100001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (100001099963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6137080 + ... + 6153352.

Almost surely, 2^100001099968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130952321280).

100001099968 is an abundant number, since it is smaller than the sum of its proper divisors (161903542592).

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

100001099968 is a wasteful number, since it uses less digits than its factorization.

100001099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16375 (or 16365 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 43.

Adding to 100001099968 its reverse (869990100001), we get a palindrome (969991199969).

The spelling of 100001099968 in words is "one hundred billion, one million, ninety-nine thousand, nine hundred sixty-eight".