2105200021300 has 72 divisors (see below), whose sum is σ = 4580695488600. Its totient is φ = 839795097600.

The previous prime is 2105200021289. The next prime is 2105200021319. The reversal of 2105200021300 is 31200025012.

It can be written as a sum of positive squares in 12 ways, for example, as 1464439824 + 2103735581476 = 38268^2 + 1450426^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60509910 + ... + 60544690.

It is an arithmetic number, because the mean of its divisors is an integer number (63620770675).

Almost surely, 2^{2105200021300} is an apocalyptic number.

2105200021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105200021300 is an abundant number, since it is smaller than the sum of its proper divisors (2475495467300).

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

2105200021300 is a wasteful number, since it uses less digits than its factorization.

2105200021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36414 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 2105200021300 its reverse (31200025012), we get a palindrome (2136400046312).

The spelling of 2105200021300 in words is "two trillion, one hundred five billion, two hundred million, twenty-one thousand, three hundred".