200102210210000 has 400 divisors, whose sum is σ = 556810518798336. Its totient is φ = 68219319744000.

The previous prime is 200102210209961. The next prime is 200102210210003. The reversal of 200102210210000 is 12012201002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102210210003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8914418777 + ... + 8914441223.

Almost surely, 2^{200102210210000} is an apocalyptic number.

200102210210000 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 200102210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278405259399168).

200102210210000 is an abundant number, since it is smaller than the sum of its proper divisors (356708308588336).

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

200102210210000 is a wasteful number, since it uses less digits than its factorization.

200102210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23196 (or 23175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200102210210000 its reverse (12012201002), we get a palindrome (200114222411002).

The spelling of 200102210210000 in words is "two hundred trillion, one hundred two billion, two hundred ten million, two hundred ten thousand".