321214413241100 has 144 divisors (see below), whose sum is σ = 713334890311680. Its totient is φ = 125516413900800.

The previous prime is 321214413241067. The next prime is 321214413241121. The reversal of 321214413241100 is 1142314412123.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828356517 + ... + 2828470083.

Almost surely, 2^{321214413241100} 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 321214413241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356667445155840).

321214413241100 is an abundant number, since it is smaller than the sum of its proper divisors (392120477070580).

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

321214413241100 is a wasteful number, since it uses less digits than its factorization.

321214413241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117448 (or 117441 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 321214413241100 its reverse (1142314412123), we get a palindrome (322356727653223).

The spelling of 321214413241100 in words is "three hundred twenty-one trillion, two hundred fourteen billion, four hundred thirteen million, two hundred forty-one thousand, one hundred".