2100209809600 has 336 divisors, whose sum is σ = 6227011168000. Its totient is φ = 681068113920.

The previous prime is 2100209809597. The next prime is 2100209809639. The reversal of 2100209809600 is 69089020012.

It is a self number, because there is not a number n which added to its sum of digits gives 2100209809600.

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, 136822726 + ... + 136838074.

Almost surely, 2^{2100209809600} is an apocalyptic number.

2100209809600 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 2100209809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113505584000).

2100209809600 is an abundant number, since it is smaller than the sum of its proper divisors (4126801358400).

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

2100209809600 is a wasteful number, since it uses less digits than its factorization.

2100209809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16040 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 2100209809600 in words is "two trillion, one hundred billion, two hundred nine million, eight hundred nine thousand, six hundred".