200102021110000 has 200 divisors, whose sum is σ = 491755718298240. Its totient is φ = 78836891232000.

The previous prime is 200102021109943. The next prime is 200102021110007. The reversal of 200102021110000 is 11120201002.

200102021110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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 (200102021110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9639279621 + ... + 9639300379.

Almost surely, 2^{200102021110000} is an apocalyptic number.

200102021110000 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 200102021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245877859149120).

200102021110000 is an abundant number, since it is smaller than the sum of its proper divisors (291653697188240).

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

200102021110000 is a wasteful number, since it uses less digits than its factorization.

200102021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35241 (or 35220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200102021110000 its reverse (11120201002), we get a palindrome (200113141311002).

The spelling of 200102021110000 in words is "two hundred trillion, one hundred two billion, twenty-one million, one hundred ten thousand".