321240101033020 has 192 divisors, whose sum is σ = 781049209651200. Its totient is φ = 109971873745920.

The previous prime is 321240101033011. The next prime is 321240101033023. The reversal of 321240101033020 is 20330101042123.

It is a super-2 number, since 2×321240101033020² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321240101032982 and 321240101033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321240101033023) 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, 6017846730 + ... + 6017900110.

It is an arithmetic number, because the mean of its divisors is an integer number (4067964633600).

Almost surely, 2^{321240101033020} 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 321240101033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390524604825600).

321240101033020 is an abundant number, since it is smaller than the sum of its proper divisors (459809108618180).

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

321240101033020 is a wasteful number, since it uses less digits than its factorization.

321240101033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79388 (or 79386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 321240101033020 its reverse (20330101042123), we get a palindrome (341570202075143).

The spelling of 321240101033020 in words is "three hundred twenty-one trillion, two hundred forty billion, one hundred one million, thirty-three thousand, twenty".