2102221010120 has 256 divisors, whose sum is σ = 5934008678400. Its totient is φ = 651148738560.

The previous prime is 2102221010081. The next prime is 2102221010179. The reversal of 2102221010120 is 210101222012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2102221010095 and 2102221010104.

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, 1062263291 + ... + 1062265269.

It is an arithmetic number, because the mean of its divisors is an integer number (23179721400).

Almost surely, 2^{2102221010120} is an apocalyptic number.

2102221010120 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 2102221010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967004339200).

2102221010120 is an abundant number, since it is smaller than the sum of its proper divisors (3831787668280).

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

2102221010120 is a wasteful number, since it uses less digits than its factorization.

2102221010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102221010120 its reverse (210101222012), we get a palindrome (2312322232132).

The spelling of 2102221010120 in words is "two trillion, one hundred two billion, two hundred twenty-one million, ten thousand, one hundred twenty".