321023010100120 has 128 divisors (see below), whose sum is σ = 731997355622400. Its totient is φ = 126689808301056.

The previous prime is 321023010100099. The next prime is 321023010100129. The reversal of 321023010100120 is 21001010320123.

It is a junction number, because it is equal to n+sod(n) for n = 321023010100094 and 321023010100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321023010100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23662041577 + ... + 23662055143.

It is an arithmetic number, because the mean of its divisors is an integer number (5718729340800).

Almost surely, 2^{321023010100120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321023010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365998677811200).

321023010100120 is an abundant number, since it is smaller than the sum of its proper divisors (410974345522280).

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

321023010100120 is a wasteful number, since it uses less digits than its factorization.

321023010100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22813 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 321023010100120 its reverse (21001010320123), we get a palindrome (342024020420243).

The spelling of 321023010100120 in words is "three hundred twenty-one trillion, twenty-three billion, ten million, one hundred thousand, one hundred twenty".