2102201221120 has 1632 divisors, whose sum is σ = 7460603262720. Its totient is φ = 549621596160.

The previous prime is 2102201221111. The next prime is 2102201221187. The reversal of 2102201221120 is 211221022012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2102201221094 and 2102201221103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72489697266 + ... + 72489697294.

Almost surely, 2^{2102201221120} is an apocalyptic number.

2102201221120 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 2102201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730301631360).

2102201221120 is an abundant number, since it is smaller than the sum of its proper divisors (5358402041600).

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

2102201221120 is a wasteful number, since it uses less digits than its factorization.

2102201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

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

Adding to 2102201221120 its reverse (211221022012), we get a palindrome (2313422243132).

The spelling of 2102201221120 in words is "two trillion, one hundred two billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".