2001000000100 has 72 divisors (see below), whose sum is σ = 4490528865536. Its totient is φ = 773148240000.

The previous prime is 2001000000079. The next prime is 2001000000107. The reversal of 2001000000100 is 10000001002.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 2001000000100.

It is not an unprimeable number, because it can be changed into a prime (2001000000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080535 + ... + 2273665.

Almost surely, 2^{2001000000100} is an apocalyptic number.

2001000000100 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 2001000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245264432768).

2001000000100 is an abundant number, since it is smaller than the sum of its proper divisors (2489528865436).

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

2001000000100 is a wasteful number, since it uses less digits than its factorization.

2001000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193717 (or 1193710 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 2001000000100 its reverse (10000001002), we get a palindrome (2011000001102).

The spelling of 2001000000100 in words is "two trillion, one billion, one hundred", and thus it is an aban number.