218656101 has 16 divisors (see below), whose sum is σ = 304596864. Its totient is φ = 139258944.

The previous prime is 218656093. The next prime is 218656103. The reversal of 218656101 is 101656812.

It is not a de Polignac number, because 218656101 - 2³ = 218656093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218656103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75655 + ... + 78491.

It is an arithmetic number, because the mean of its divisors is an integer number (19037304).

Almost surely, 2^218656101 is an apocalyptic number.

It is an amenable number.

218656101 is a deficient number, since it is larger than the sum of its proper divisors (85940763).

218656101 is a wasteful number, since it uses less digits than its factorization.

218656101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 218656101 is about 14787.0247514502. The cubic root of 218656101 is about 602.4493403914.

It can be divided in two parts, 21865 and 6101, that added together give a triangular number (27966 = T₂₃₆).

The spelling of 218656101 in words is "two hundred eighteen million, six hundred fifty-six thousand, one hundred one".