200002120102000 has 160 divisors (see below), whose sum is σ = 484945185164544. Its totient is φ = 79779335168000.

The previous prime is 200002120101967. The next prime is 200002120102007. The reversal of 200002120102000 is 201021200002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200002120102007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959274962 + ... + 1959377038.

Almost surely, 2^{200002120102000} is an apocalyptic number.

200002120102000 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 200002120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242472592582272).

200002120102000 is an abundant number, since it is smaller than the sum of its proper divisors (284943065062544).

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

200002120102000 is a wasteful number, since it uses less digits than its factorization.

200002120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104804 (or 104788 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200002120102000 its reverse (201021200002), we get a palindrome (200203141302002).

The spelling of 200002120102000 in words is "two hundred trillion, two billion, one hundred twenty million, one hundred two thousand".