321114444142100 has 432 divisors, whose sum is σ = 824165785430400. Its totient is φ = 108551761920000.

The previous prime is 321114444142091. The next prime is 321114444142103. The reversal of 321114444142100 is 1241444411123.

It is a super-2 number, since 2×321114444142100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321114444142103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89922833315 + ... + 89922836885.

Almost surely, 2^{321114444142100} 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 321114444142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412082892715200).

321114444142100 is an abundant number, since it is smaller than the sum of its proper divisors (503051341288300).

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

321114444142100 is a wasteful number, since it uses less digits than its factorization.

321114444142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 321114444142100 its reverse (1241444411123), we get a palindrome (322355888553223).

The spelling of 321114444142100 in words is "three hundred twenty-one trillion, one hundred fourteen billion, four hundred forty-four million, one hundred forty-two thousand, one hundred".