21611121340217 has 8 divisors (see below), whose sum is σ = 21627933023232. Its totient is φ = 21594310452000.

The previous prime is 21611121340201. The next prime is 21611121340247. The reversal of 21611121340217 is 71204312111612.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21611121340217 - 2⁴ = 21611121340201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21611121340247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61664792 + ... + 62014262.

It is an arithmetic number, because the mean of its divisors is an integer number (2703491627904).

Almost surely, 2^{21611121340217} is an apocalyptic number.

It is an amenable number.

21611121340217 is a deficient number, since it is larger than the sum of its proper divisors (16811683015).

21611121340217 is a wasteful number, since it uses less digits than its factorization.

21611121340217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397399.

The product of its (nonzero) digits is 4032, while the sum is 32.

Adding to 21611121340217 its reverse (71204312111612), we get a palindrome (92815433451829).

The spelling of 21611121340217 in words is "twenty-one trillion, six hundred eleven billion, one hundred twenty-one million, three hundred forty thousand, two hundred seventeen".