100021100192 has 96 divisors (see below), whose sum is σ = 214386568704. Its totient is φ = 45660672000.

The previous prime is 100021100191. The next prime is 100021100203. The reversal of 100021100192 is 291001120001.

It is a self number, because there is not a number n which added to its sum of digits gives 100021100192.

It is not an unprimeable number, because it can be changed into a prime (100021100191) 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 15 ways as a sum of consecutive naturals, for example, 15135353 + ... + 15141959.

It is an arithmetic number, because the mean of its divisors is an integer number (2233193424).

Almost surely, 2^100021100192 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 100021100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107193284352).

100021100192 is an abundant number, since it is smaller than the sum of its proper divisors (114365468512).

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

100021100192 is a wasteful number, since it uses less digits than its factorization.

100021100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100021100192 its reverse (291001120001), we get a palindrome (391022220193).

The spelling of 100021100192 in words is "one hundred billion, twenty-one million, one hundred thousand, one hundred ninety-two".