220020102100 has 18 divisors (see below), whose sum is σ = 477443621774. Its totient is φ = 88008040800.

The previous prime is 220020102091. The next prime is 220020102103. The reversal of 220020102100 is 1201020022.

220020102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6609364804 + 213410737296 = 81298^2 + 461964^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220020102103) 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 5 ways as a sum of consecutive naturals, for example, 1100100411 + ... + 1100100610.

Almost surely, 2^220020102100 is an apocalyptic number.

220020102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020102100 is an abundant number, since it is smaller than the sum of its proper divisors (257423519674).

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

220020102100 is a wasteful number, since it uses less digits than its factorization.

220020102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200201035 (or 2200201028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220020102100 its reverse (1201020022), we get a palindrome (221221122122).

The spelling of 220020102100 in words is "two hundred twenty billion, twenty million, one hundred two thousand, one hundred".