2001001330020 has 384 divisors, whose sum is σ = 7143568588800. Its totient is φ = 406451750400.

The previous prime is 2001001330019. The next prime is 2001001330051. The reversal of 2001001330020 is 200331001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001001329978 and 2001001330005.

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, 48771315 + ... + 48812325.

It is an arithmetic number, because the mean of its divisors is an integer number (18603043200).

Almost surely, 2^{2001001330020} is an apocalyptic number.

2001001330020 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 2001001330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571784294400).

2001001330020 is an abundant number, since it is smaller than the sum of its proper divisors (5142567258780).

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

2001001330020 is a wasteful number, since it uses less digits than its factorization.

2001001330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41279 (or 41277 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 2001001330020 its reverse (200331001002), we get a palindrome (2201332331022).

The spelling of 2001001330020 in words is "two trillion, one billion, one million, three hundred thirty thousand, twenty".