100100099486728 has 128 divisors (see below), whose sum is σ = 209148855062400. Its totient is φ = 44533133568000.

The previous prime is 100100099486663. The next prime is 100100099486729. The reversal of 100100099486728 is 827684990001001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100100099486729) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4210651450 + ... + 4210675222.

It is an arithmetic number, because the mean of its divisors is an integer number (1633975430175).

Almost surely, 2^{100100099486728} 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 100100099486728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104574427531200).

100100099486728 is an abundant number, since it is smaller than the sum of its proper divisors (109048755575672).

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

100100099486728 is a wasteful number, since it uses less digits than its factorization.

100100099486728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29303 (or 29299 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 100100099486728 in words is "one hundred trillion, one hundred billion, ninety-nine million, four hundred eighty-six thousand, seven hundred twenty-eight".