201000210002000 has 320 divisors, whose sum is σ = 505295673292800. Its totient is φ = 77248839168000.

The previous prime is 201000210001999. The next prime is 201000210002041. The reversal of 201000210002000 is 200012000102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29589310604 + ... + 29589317396.

It is an arithmetic number, because the mean of its divisors is an integer number (1579048979040).

Almost surely, 2^{201000210002000} is an apocalyptic number.

201000210002000 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 201000210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252647836646400).

201000210002000 is an abundant number, since it is smaller than the sum of its proper divisors (304295463290800).

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

201000210002000 is a wasteful number, since it uses less digits than its factorization.

201000210002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10183 counting only the distinct ones).

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

Adding to 201000210002000 its reverse (200012000102), we get a palindrome (201200222002102).

The spelling of 201000210002000 in words is "two hundred one trillion, two hundred ten million, two thousand".