100322312232120 has 256 divisors, whose sum is σ = 331606275840000. Its totient is φ = 24077733888000.

The previous prime is 100322312232083. The next prime is 100322312232127. The reversal of 100322312232120 is 21232213223001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100322312232127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2107632081 + ... + 2107679679.

It is an arithmetic number, because the mean of its divisors is an integer number (1295337015000).

Almost surely, 2^{100322312232120} is an apocalyptic number.

100322312232120 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 100322312232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165803137920000).

100322312232120 is an abundant number, since it is smaller than the sum of its proper divisors (231283963607880).

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

100322312232120 is a wasteful number, since it uses less digits than its factorization.

100322312232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63534 (or 63530 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100322312232120 its reverse (21232213223001), we get a palindrome (121554525455121).

The spelling of 100322312232120 in words is "one hundred trillion, three hundred twenty-two billion, three hundred twelve million, two hundred thirty-two thousand, one hundred twenty".