2000201012000 has 192 divisors, whose sum is σ = 4969876111200. Its totient is φ = 791094988800.

The previous prime is 2000201011997. The next prime is 2000201012011. The reversal of 2000201012000 is 2101020002.

It can be written as a sum of positive squares in 16 ways, for example, as 2965020304 + 1997235991696 = 54452^2 + 1413236^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221919494 + ... + 221928506.

Almost surely, 2^{2000201012000} is an apocalyptic number.

2000201012000 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 2000201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484938055600).

2000201012000 is an abundant number, since it is smaller than the sum of its proper divisors (2969675099200).

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

2000201012000 is a wasteful number, since it uses less digits than its factorization.

2000201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656 (or 9638 counting only the distinct ones).

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

Adding to 2000201012000 its reverse (2101020002), we get a palindrome (2002302032002).

The spelling of 2000201012000 in words is "two trillion, two hundred one million, twelve thousand".