321211212100101 has 8 divisors (see below), whose sum is σ = 475868462370560. Its totient is φ = 214140808066716.

The previous prime is 321211212100067. The next prime is 321211212100123. The reversal of 321211212100101 is 101001212112123.

It is a happy number.

321211212100101 is a `hidden beast` number, since 321 + 2 + 1 + 121 + 210 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 321211212100101 - 2¹⁴ = 321211212083717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321211212100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5948355779605 + ... + 5948355779658.

It is an arithmetic number, because the mean of its divisors is an integer number (59483557796320).

Almost surely, 2^{321211212100101} is an apocalyptic number.

It is an amenable number.

321211212100101 is a deficient number, since it is larger than the sum of its proper divisors (154657250270459).

321211212100101 is a wasteful number, since it uses less digits than its factorization.

321211212100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896711559272 (or 11896711559266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 321211212100101 its reverse (101001212112123), we get a palindrome (422212424212224).

The spelling of 321211212100101 in words is "three hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred thousand, one hundred one".