21213600205601 has 16 divisors (see below), whose sum is σ = 22338037708800. Its totient is φ = 20089957391568.

The previous prime is 21213600205571. The next prime is 21213600205613. The reversal of 21213600205601 is 10650200631212.

It is a cyclic number.

It is not a de Polignac number, because 21213600205601 - 2¹⁸ = 21213599943457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21213600205631) 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, 758074856 + ... + 758102838.

It is an arithmetic number, because the mean of its divisors is an integer number (1396127356800).

Almost surely, 2^{21213600205601} is an apocalyptic number.

It is an amenable number.

21213600205601 is a deficient number, since it is larger than the sum of its proper divisors (1124437503199).

21213600205601 is a wasteful number, since it uses less digits than its factorization.

21213600205601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40748.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 21213600205601 its reverse (10650200631212), we get a palindrome (31863800836813).

The spelling of 21213600205601 in words is "twenty-one trillion, two hundred thirteen billion, six hundred million, two hundred five thousand, six hundred one".