217820032101 has 36 divisors (see below), whose sum is σ = 362431216992. Its totient is φ = 123487946064.

The previous prime is 217820032061. The next prime is 217820032127. The reversal of 217820032101 is 101230028712.

It is not a de Polignac number, because 217820032101 - 2²¹ = 217817934949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217820032601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 908946 + ... + 1123308.

Almost surely, 2^217820032101 is an apocalyptic number.

217820032101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

217820032101 is a deficient number, since it is larger than the sum of its proper divisors (144611184891).

217820032101 is a wasteful number, since it uses less digits than its factorization.

217820032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214630 (or 214500 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 217820032101 in words is "two hundred seventeen billion, eight hundred twenty million, thirty-two thousand, one hundred one".