217338340100 has 36 divisors (see below), whose sum is σ = 538999085184. Its totient is φ = 74516002080.

The previous prime is 217338340039. The next prime is 217338340103. The reversal of 217338340100 is 1043833712.

217338340100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (217338340103) 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 11 ways as a sum of consecutive naturals, for example, 155240972 + ... + 155242371.

Almost surely, 2^217338340100 is an apocalyptic number.

217338340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217338340100 is an abundant number, since it is smaller than the sum of its proper divisors (321660745084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217338340100 is a wasteful number, since it uses less digits than its factorization.

217338340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310483364 (or 310483357 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 217338340100 in words is "two hundred seventeen billion, three hundred thirty-eight million, three hundred forty thousand, one hundred".