200101210002000 has 640 divisors, whose sum is σ = 740065834659840. Its totient is φ = 51629529600000.

The previous prime is 200101210001993. The next prime is 200101210002097. The reversal of 200101210002000 is 200012101002.

200101210002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16574267964 + ... + 16574280036.

It is an arithmetic number, because the mean of its divisors is an integer number (1156352866656).

Almost surely, 2^{200101210002000} is an apocalyptic number.

200101210002000 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 200101210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370032917329920).

200101210002000 is an abundant number, since it is smaller than the sum of its proper divisors (539964624657840).

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

200101210002000 is a wasteful number, since it uses less digits than its factorization.

200101210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22037 (or 22015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200101210002000 its reverse (200012101002), we get a palindrome (200301222103002).

The spelling of 200101210002000 in words is "two hundred trillion, one hundred one billion, two hundred ten million, two thousand".