200105250000000 has 640 divisors, whose sum is σ = 682463601990720. Its totient is φ = 51912000000000.

The previous prime is 200105249999981. The next prime is 200105250000011. The reversal of 200105250000000 is 52501002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×200105250000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27749996395 + ... + 27750003605.

Almost surely, 2^{200105250000000} is an apocalyptic number.

200105250000000 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 200105250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341231800995360).

200105250000000 is an abundant number, since it is smaller than the sum of its proper divisors (482358351990720).

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

200105250000000 is an frugal number, since it uses more digits than its factorization.

200105250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 200105250000000 in words is "two hundred trillion, one hundred five billion, two hundred fifty million", and thus it is an aban number.