2001321000100 has 72 divisors (see below), whose sum is σ = 4367868313536. Its totient is φ = 795921840000.

The previous prime is 2001321000073. The next prime is 2001321000113. The reversal of 2001321000100 is 10001231002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100101105 + ... + 100121095.

It is an arithmetic number, because the mean of its divisors is an integer number (60664837688).

Almost surely, 2^{2001321000100} is an apocalyptic number.

2001321000100 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 2001321000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183934156768).

2001321000100 is an abundant number, since it is smaller than the sum of its proper divisors (2366547313436).

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

2001321000100 is a wasteful number, since it uses less digits than its factorization.

2001321000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25717 (or 25710 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 2001321000100 its reverse (10001231002), we get a palindrome (2011322231102).

The spelling of 2001321000100 in words is "two trillion, one billion, three hundred twenty-one million, one hundred", and thus it is an aban number.