100022313121320 has 128 divisors (see below), whose sum is σ = 309871595658240. Its totient is φ = 25801786705920.

The previous prime is 100022313121301. The next prime is 100022313121337. The reversal of 100022313121320 is 23121313220001.

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, 3786964 + ... + 14641916.

It is an arithmetic number, because the mean of its divisors is an integer number (2420871841080).

Almost surely, 2^{100022313121320} is an apocalyptic number.

100022313121320 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 100022313121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154935797829120).

100022313121320 is an abundant number, since it is smaller than the sum of its proper divisors (209849282536920).

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

100022313121320 is a wasteful number, since it uses less digits than its factorization.

100022313121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10857475 (or 10857471 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100022313121320 its reverse (23121313220001), we get a palindrome (123143626341321).

The spelling of 100022313121320 in words is "one hundred trillion, twenty-two billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".