2001001021000 has 128 divisors (see below), whose sum is σ = 4699702425600. Its totient is φ = 797437267200.

The previous prime is 2001001020983. The next prime is 2001001021001. The reversal of 2001001021000 is 1201001002.

It is not an unprimeable number, because it can be changed into a prime (2001001021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562551222 + ... + 562554778.

It is an arithmetic number, because the mean of its divisors is an integer number (36716425200).

Almost surely, 2^{2001001021000} is an apocalyptic number.

2001001021000 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 2001001021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349851212800).

2001001021000 is an abundant number, since it is smaller than the sum of its proper divisors (2698701404600).

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

2001001021000 is a wasteful number, since it uses less digits than its factorization.

2001001021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001001021000 its reverse (1201001002), we get a palindrome (2002202022002).

The spelling of 2001001021000 in words is "two trillion, one billion, one million, twenty-one thousand".