100921028220 has 120 divisors (see below), whose sum is σ = 317976674400. Its totient is φ = 26794654848.

The previous prime is 100921028189. The next prime is 100921028267. The reversal of 100921028220 is 22820129001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234961 + ... + 506999.

It is an arithmetic number, because the mean of its divisors is an integer number (2649805620).

Almost surely, 2^100921028220 is an apocalyptic number.

100921028220 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 100921028220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158988337200).

100921028220 is an abundant number, since it is smaller than the sum of its proper divisors (217055646180).

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

100921028220 is a wasteful number, since it uses less digits than its factorization.

100921028220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272289 (or 272278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 100921028220 in words is "one hundred billion, nine hundred twenty-one million, twenty-eight thousand, two hundred twenty".