2102112220120 has 256 divisors, whose sum is σ = 5442189120000. Its totient is φ = 723656478720.

The previous prime is 2102112220067. The next prime is 2102112220151. The reversal of 2102112220120 is 210222112012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2102112220094 and 2102112220103.

It is a congruent number.

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, 307908147 + ... + 307914973.

It is an arithmetic number, because the mean of its divisors is an integer number (21258551250).

Almost surely, 2^{2102112220120} is an apocalyptic number.

2102112220120 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 2102112220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721094560000).

2102112220120 is an abundant number, since it is smaller than the sum of its proper divisors (3340076899880).

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

2102112220120 is a wasteful number, since it uses less digits than its factorization.

2102112220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102112220120 its reverse (210222112012), we get a palindrome (2312334332132).

It can be divided in two parts, 2102112 and 220120, that added together give a palindrome (2322232).

The spelling of 2102112220120 in words is "two trillion, one hundred two billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".