217434107201 has 16 divisors (see below), whose sum is σ = 229523696640. Its totient is φ = 205409785680.

The previous prime is 217434107171. The next prime is 217434107213. The reversal of 217434107201 is 102701434712.

It is a cyclic number.

It is not a de Polignac number, because 217434107201 - 2¹⁴ = 217434090817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (217454107201) 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, 12329276 + ... + 12346898.

It is an arithmetic number, because the mean of its divisors is an integer number (14345231040).

Almost surely, 2^217434107201 is an apocalyptic number.

It is an amenable number.

217434107201 is a deficient number, since it is larger than the sum of its proper divisors (12089589439).

217434107201 is a wasteful number, since it uses less digits than its factorization.

217434107201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436.

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 217434107201 in words is "two hundred seventeen billion, four hundred thirty-four million, one hundred seven thousand, two hundred one".