2000201000010 has 128 divisors (see below), whose sum is σ = 5060309760000. Its totient is φ = 505000058112.

The previous prime is 2000200999991. The next prime is 2000201000011. The reversal of 2000201000010 is 100001020002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (2000201000011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76625941 + ... + 76652039.

It is an arithmetic number, because the mean of its divisors is an integer number (39533670000).

Almost surely, 2^{2000201000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000201000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530154880000).

2000201000010 is an abundant number, since it is smaller than the sum of its proper divisors (3060108759990).

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

2000201000010 is a wasteful number, since it uses less digits than its factorization.

2000201000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27260.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2000201000010 its reverse (100001020002), we get a palindrome (2100202020012).

The spelling of 2000201000010 in words is "two trillion, two hundred one million, ten", and thus it is an aban number.