2102221110220 has 96 divisors (see below), whose sum is σ = 5506190516736. Its totient is φ = 654976627200.

The previous prime is 2102221110191. The next prime is 2102221110239. The reversal of 2102221110220 is 220111222012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2102221110194 and 2102221110203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3611599 + ... + 4153081.

It is an arithmetic number, because the mean of its divisors is an integer number (57356151216).

Almost surely, 2^{2102221110220} is an apocalyptic number.

2102221110220 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 2102221110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753095258368).

2102221110220 is an abundant number, since it is smaller than the sum of its proper divisors (3403969406516).

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

2102221110220 is a wasteful number, since it uses less digits than its factorization.

2102221110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544031 (or 544029 counting only the distinct ones).

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

Adding to 2102221110220 its reverse (220111222012), we get a palindrome (2322332332232).

The spelling of 2102221110220 in words is "two trillion, one hundred two billion, two hundred twenty-one million, one hundred ten thousand, two hundred twenty".