100222302320 has 80 divisors (see below), whose sum is σ = 266990143680. Its totient is φ = 34273523712.

The previous prime is 100222302319. The next prime is 100222302329. The reversal of 100222302320 is 23203222001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222302329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12197 + ... + 447876.

It is an arithmetic number, because the mean of its divisors is an integer number (3337376796).

Almost surely, 2^100222302320 is an apocalyptic number.

100222302320 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 100222302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133495071840).

100222302320 is an abundant number, since it is smaller than the sum of its proper divisors (166767841360).

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

100222302320 is a wasteful number, since it uses less digits than its factorization.

100222302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460482 (or 460476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 100222302320 its reverse (23203222001), we get a palindrome (123425524321).

The spelling of 100222302320 in words is "one hundred billion, two hundred twenty-two million, three hundred two thousand, three hundred twenty".