418220107101 has 24 divisors (see below), whose sum is σ = 615942990936. Its totient is φ = 273353109120.

The previous prime is 418220107061. The next prime is 418220107121. The reversal of 418220107101 is 101701022814.

418220107101 is a `hidden beast` number, since 418 + 220 + 10 + 7 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264849183225 + 153370923876 = 514635^2 + 391626^2 .

It is not a de Polignac number, because 418220107101 - 2¹⁵ = 418220074333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418220107121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335631 + ... + 974211.

It is an arithmetic number, because the mean of its divisors is an integer number (25664291289).

Almost surely, 2^418220107101 is an apocalyptic number.

It is an amenable number.

418220107101 is a deficient number, since it is larger than the sum of its proper divisors (197722883835).

418220107101 is a wasteful number, since it uses less digits than its factorization.

418220107101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640013 (or 640010 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 418220107101 its reverse (101701022814), we get a palindrome (519921129915).

The spelling of 418220107101 in words is "four hundred eighteen billion, two hundred twenty million, one hundred seven thousand, one hundred one".