2101022000320 has 112 divisors (see below), whose sum is σ = 5296821654240. Its totient is φ = 791574183936.

The previous prime is 2101022000299. The next prime is 2101022000381. The reversal of 2101022000320 is 230002201012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101022000320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53104 + ... + 2050576.

Almost surely, 2^{2101022000320} is an apocalyptic number.

2101022000320 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 2101022000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648410827120).

2101022000320 is an abundant number, since it is smaller than the sum of its proper divisors (3195799653920).

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

2101022000320 is a wasteful number, since it uses less digits than its factorization.

2101022000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997682 (or 1997672 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2101022000320 its reverse (230002201012), we get a palindrome (2331024201332).

The spelling of 2101022000320 in words is "two trillion, one hundred one billion, twenty-two million, three hundred twenty", and thus it is an aban number.