2220022002100 has 144 divisors (see below), whose sum is σ = 5641288934400. Its totient is φ = 742408012800.

The previous prime is 2220022002091. The next prime is 2220022002127. The reversal of 2220022002100 is 12002200222.

2220022002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182726826 + ... + 182738974.

It is an arithmetic number, because the mean of its divisors is an integer number (39175617600).

Almost surely, 2^{2220022002100} is an apocalyptic number.

2220022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220022002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820644467200).

2220022002100 is an abundant number, since it is smaller than the sum of its proper divisors (3421266932300).

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

2220022002100 is a wasteful number, since it uses less digits than its factorization.

2220022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2220022002100 its reverse (12002200222), we get a palindrome (2232024202322).

The spelling of 2220022002100 in words is "two trillion, two hundred twenty billion, twenty-two million, two thousand, one hundred".