2102221012320 has 288 divisors, whose sum is σ = 8427995974944. Its totient is φ = 470427033600.

The previous prime is 2102221012313. The next prime is 2102221012361. The reversal of 2102221012320 is 232101222012.

2102221012320 is a `hidden beast` number, since 21 + 0 + 222 + 101 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102221012293 and 2102221012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4898541 + ... + 5310380.

It is an arithmetic number, because the mean of its divisors is an integer number (29263874913).

Almost surely, 2^{2102221012320} is an apocalyptic number.

2102221012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102221012320 is an abundant number, since it is smaller than the sum of its proper divisors (6325774962624).

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

2102221012320 is a wasteful number, since it uses less digits than its factorization.

2102221012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10208966 (or 10208955 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2102221012320 its reverse (232101222012), we get a palindrome (2334322234332).

The spelling of 2102221012320 in words is "two trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, three hundred twenty".