321121340321100 has 288 divisors, whose sum is σ = 1023683719548672. Its totient is φ = 77071363200000.

The previous prime is 321121340321083. The next prime is 321121340321137. The reversal of 321121340321100 is 1123043121123.

It is a super-2 number, since 2×321121340321100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6629646082 + ... + 6629694518.

It is an arithmetic number, because the mean of its divisors is an integer number (3554457359544).

Almost surely, 2^{321121340321100} is an apocalyptic number.

321121340321100 is a gapful number since it is divisible by the number (30) 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 321121340321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511841859774336).

321121340321100 is an abundant number, since it is smaller than the sum of its proper divisors (702562379227572).

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

321121340321100 is a wasteful number, since it uses less digits than its factorization.

321121340321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68457 (or 68450 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 321121340321100 its reverse (1123043121123), we get a palindrome (322244383442223).

The spelling of 321121340321100 in words is "three hundred twenty-one trillion, one hundred twenty-one billion, three hundred forty million, three hundred twenty-one thousand, one hundred".