321214211241021 has 96 divisors (see below), whose sum is σ = 564984076520448. Its totient is φ = 171666804902400.

The previous prime is 321214211240999. The next prime is 321214211241061. The reversal of 321214211241021 is 120142112412123.

321214211241021 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 14 + 211 + 2 + 410 + 21 = 666.

It is not a de Polignac number, because 321214211241021 - 2¹⁴ = 321214211224637 is a prime.

It is a super-3 number, since 3×321214211241021³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214211241061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126027810 + ... + 1126313036.

It is an arithmetic number, because the mean of its divisors is an integer number (5885250797088).

Almost surely, 2^{321214211241021} is an apocalyptic number.

It is an amenable number.

321214211241021 is a deficient number, since it is larger than the sum of its proper divisors (243769865279427).

321214211241021 is a wasteful number, since it uses less digits than its factorization.

321214211241021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291871 (or 291868 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 321214211241021 its reverse (120142112412123), we get a palindrome (441356323653144).

The spelling of 321214211241021 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, twenty-one".