100322214444320 has 192 divisors, whose sum is σ = 261130700033280. Its totient is φ = 36118288281600.

The previous prime is 100322214444299. The next prime is 100322214444343. The reversal of 100322214444320 is 23444412223001.

It is a happy number.

It is a super-2 number, since 2×100322214444320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249766850 + ... + 250168190.

It is an arithmetic number, because the mean of its divisors is an integer number (1360055729340).

Almost surely, 2^{100322214444320} is an apocalyptic number.

100322214444320 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 100322214444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130565350016640).

100322214444320 is an abundant number, since it is smaller than the sum of its proper divisors (160808485588960).

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

100322214444320 is a wasteful number, since it uses less digits than its factorization.

100322214444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402779 (or 402771 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 100322214444320 its reverse (23444412223001), we get a palindrome (123766626667321).

The spelling of 100322214444320 in words is "one hundred trillion, three hundred twenty-two billion, two hundred fourteen million, four hundred forty-four thousand, three hundred twenty".