2100120222220 has 144 divisors (see below), whose sum is σ = 4839099632640. Its totient is φ = 764649446400.

The previous prime is 2100120222173. The next prime is 2100120222229. The reversal of 2100120222220 is 222220210012.

It is a junction number, because it is equal to n+sod(n) for n = 2100120222194 and 2100120222203.

It is not an unprimeable number, because it can be changed into a prime (2100120222229) 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 47 ways as a sum of consecutive naturals, for example, 419099515 + ... + 419104525.

It is an arithmetic number, because the mean of its divisors is an integer number (33604858560).

Almost surely, 2^{2100120222220} is an apocalyptic number.

2100120222220 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 2100120222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419549816320).

2100120222220 is an abundant number, since it is smaller than the sum of its proper divisors (2738979410420).

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

2100120222220 is a wasteful number, since it uses less digits than its factorization.

2100120222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7424 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100120222220 its reverse (222220210012), we get a palindrome (2322340432232).

The spelling of 2100120222220 in words is "two trillion, one hundred billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty".