2010222202120 has 256 divisors, whose sum is σ = 5089291534080. Its totient is φ = 708470784000.

The previous prime is 2010222202111. The next prime is 2010222202133. The reversal of 2010222202120 is 212022220102.

It is a junction number, because it is equal to n+sod(n) for n = 2010222202094 and 2010222202103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444442179 + ... + 444446701.

It is an arithmetic number, because the mean of its divisors is an integer number (19880045055).

Almost surely, 2^{2010222202120} is an apocalyptic number.

2010222202120 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 2010222202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544645767040).

2010222202120 is an abundant number, since it is smaller than the sum of its proper divisors (3079069331960).

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

2010222202120 is a wasteful number, since it uses less digits than its factorization.

2010222202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4852 counting only the distinct ones).

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

Adding to 2010222202120 its reverse (212022220102), we get a palindrome (2222244422222).

It can be divided in two parts, 20102 and 22202120, that added together give a palindrome (22222222).

The spelling of 2010222202120 in words is "two trillion, ten billion, two hundred twenty-two million, two hundred two thousand, one hundred twenty".