100688112000 has 1536 divisors, whose sum is σ = 445617469440. Its totient is φ = 21288960000.

The previous prime is 100688111983. The next prime is 100688112013. The reversal of 100688112000 is 211886001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 996911950 + ... + 996912050.

It is an arithmetic number, because the mean of its divisors is an integer number (290115540).

Almost surely, 2^100688112000 is an apocalyptic number.

100688112000 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 100688112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222808734720).

100688112000 is an abundant number, since it is smaller than the sum of its proper divisors (344929357440).

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

100688112000 is a wasteful number, since it uses less digits than its factorization.

100688112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 100688112000 its reverse (211886001), we get a palindrome (100899998001).

The spelling of 100688112000 in words is "one hundred billion, six hundred eighty-eight million, one hundred twelve thousand".