21002101320321 has 12 divisors (see below), whose sum is σ = 33094220262480. Its totient is φ = 12728546254680.

The previous prime is 21002101320311. The next prime is 21002101320451. The reversal of 21002101320321 is 12302310120012.

21002101320321 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 21 + 0 + 1 + 320 + 321 = 666.

It is not a de Polignac number, because 21002101320321 - 2¹⁵ = 21002101287553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21002101320294 and 21002101320303.

It is not an unprimeable number, because it can be changed into a prime (21002101320311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106071218691 + ... + 106071218888.

It is an arithmetic number, because the mean of its divisors is an integer number (2757851688540).

Almost surely, 2^{21002101320321} is an apocalyptic number.

It is an amenable number.

21002101320321 is a deficient number, since it is larger than the sum of its proper divisors (12092118942159).

21002101320321 is a wasteful number, since it uses less digits than its factorization.

21002101320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212142437596 (or 212142437593 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21002101320321 its reverse (12302310120012), we get a palindrome (33304411440333).

The spelling of 21002101320321 in words is "twenty-one trillion, two billion, one hundred one million, three hundred twenty thousand, three hundred twenty-one".