200102210000000 has 2048 divisors, whose sum is σ = 655450322042880. Its totient is φ = 59040000000000.

The previous prime is 200102209999961. The next prime is 200102210000003. The reversal of 200102210000000 is 12201002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (200102210000003) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1981209999950 + ... + 1981210000050.

It is an arithmetic number, because the mean of its divisors is an integer number (320044102560).

Almost surely, 2^{200102210000000} is an apocalyptic number.

200102210000000 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 200102210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327725161021440).

200102210000000 is an abundant number, since it is smaller than the sum of its proper divisors (455348112042880).

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

200102210000000 is an frugal number, since it uses more digits than its factorization.

200102210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 240 counting only the distinct ones).

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

Adding to 200102210000000 its reverse (12201002), we get a palindrome (200102222201002).

The spelling of 200102210000000 in words is "two hundred trillion, one hundred two billion, two hundred ten million", and thus it is an aban number.