321101022130000 has 200 divisors, whose sum is σ = 888826407004800. Its totient is φ = 110048527680000.

The previous prime is 321101022129989. The next prime is 321101022130001. The reversal of 321101022130000 is 31220101123.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321101022130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177530205 + ... + 179329795.

It is an arithmetic number, because the mean of its divisors is an integer number (4444132035024).

Almost surely, 2^{321101022130000} 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 321101022130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444413203502400).

321101022130000 is an abundant number, since it is smaller than the sum of its proper divisors (567725384874800).

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

321101022130000 is a wasteful number, since it uses less digits than its factorization.

321101022130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802175 (or 1802154 counting only the distinct ones).

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

Adding to 321101022130000 its reverse (31220101123), we get a palindrome (321132242231123).

The spelling of 321101022130000 in words is "three hundred twenty-one trillion, one hundred one billion, twenty-two million, one hundred thirty thousand".