100921208192 has 128 divisors (see below), whose sum is σ = 235884057600. Its totient is φ = 42117304320.

The previous prime is 100921208161. The next prime is 100921208197. The reversal of 100921208192 is 291802129001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100921208197) 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 15 ways as a sum of consecutive naturals, for example, 5157467 + ... + 5176997.

It is an arithmetic number, because the mean of its divisors is an integer number (1842844200).

Almost surely, 2^100921208192 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 100921208192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117942028800).

100921208192 is an abundant number, since it is smaller than the sum of its proper divisors (134962849408).

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

100921208192 is an equidigital number, since it uses as much as digits as its factorization.

100921208192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704 (or 19692 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 100921208192 in words is "one hundred billion, nine hundred twenty-one million, two hundred eight thousand, one hundred ninety-two".