2102222200120 has 96 divisors (see below), whose sum is σ = 5506398031680. Its totient is φ = 720217854720.

The previous prime is 2102222200109. The next prime is 2102222200121. The reversal of 2102222200120 is 210022222012.

It is a junction number, because it is equal to n+sod(n) for n = 2102222200094 and 2102222200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102222200121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196790 + ... + 3005050.

It is an arithmetic number, because the mean of its divisors is an integer number (57358312830).

Almost surely, 2^{2102222200120} is an apocalyptic number.

2102222200120 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 2102222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753199015840).

2102222200120 is an abundant number, since it is smaller than the sum of its proper divisors (3404175831560).

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

2102222200120 is a wasteful number, since it uses less digits than its factorization.

2102222200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809613 (or 809602 counting only the distinct ones).

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

Adding to 2102222200120 its reverse (210022222012), we get a palindrome (2312244422132).

It can be divided in two parts, 2102 and 222200120, that added together give a palindrome (222202222).

The spelling of 2102222200120 in words is "two trillion, one hundred two billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".