321214212101441 has 16 divisors (see below), whose sum is σ = 332402434800000. Its totient is φ = 310033464668928.

The previous prime is 321214212101429. The next prime is 321214212101443. The reversal of 321214212101441 is 144101212412123.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 321214212101441 - 2¹⁴ = 321214212085057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321214212101443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088149721 + ... + 1088444873.

It is an arithmetic number, because the mean of its divisors is an integer number (20775152175000).

Almost surely, 2^{321214212101441} is an apocalyptic number.

It is an amenable number.

321214212101441 is a deficient number, since it is larger than the sum of its proper divisors (11188222698559).

321214212101441 is a wasteful number, since it uses less digits than its factorization.

321214212101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307688.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 321214212101441 its reverse (144101212412123), we get a palindrome (465315424513564).

The spelling of 321214212101441 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred twelve million, one hundred one thousand, four hundred forty-one".