220516101 has 60 divisors (see below), whose sum is σ = 362702340. Its totient is φ = 133436160.

The previous prime is 220516067. The next prime is 220516103. The reversal of 220516101 is 101615022.

220516101 is a `hidden beast` number, since 2 + 2 + 0 + 51 + 610 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 134583201 + 85932900 = 11601^2 + 9270^2 .

It is not a de Polignac number, because 220516101 - 2¹⁰ = 220515077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220516103) 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 59 ways as a sum of consecutive naturals, for example, 1218231 + ... + 1218411.

It is an arithmetic number, because the mean of its divisors is an integer number (6045039).

Almost surely, 2^220516101 is an apocalyptic number.

It is an amenable number.

220516101 is a deficient number, since it is larger than the sum of its proper divisors (142186239).

220516101 is a wasteful number, since it uses less digits than its factorization.

220516101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 220516101 is about 14849.7845438915. The cubic root of 220516101 is about 604.1527662427.

The spelling of 220516101 in words is "two hundred twenty million, five hundred sixteen thousand, one hundred one".