2100847324900 has 81 divisors (see below), whose sum is σ = 4588692107643. Its totient is φ = 834871680000.

The previous prime is 2100847324879. The next prime is 2100847324907. The reversal of 2100847324900 is 94237480012.

The square root of 2100847324900 is 1449430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 337879463076 + 1762967861824 = 581274^2 + 1327768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100847324907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2797399525 + ... + 2797400275.

Almost surely, 2^{2100847324900} is an apocalyptic number.

2100847324900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2100847324900 is the 1449430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100847324900

2100847324900 is an abundant number, since it is smaller than the sum of its proper divisors (2487844782743).

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

2100847324900 is an frugal number, since it uses more digits than its factorization.

2100847324900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 2100847324900 in words is "two trillion, one hundred billion, eight hundred forty-seven million, three hundred twenty-four thousand, nine hundred".