2001000020100 has 36 divisors (see below), whose sum is σ = 5789560059024. Its totient is φ = 533600005280.

The previous prime is 2001000020059. The next prime is 2001000020101. The reversal of 2001000020100 is 10200001002.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2001000020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334999734 + ... + 3335000333.

Almost surely, 2^{2001000020100} is an apocalyptic number.

2001000020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000020100 is an abundant number, since it is smaller than the sum of its proper divisors (3788560038924).

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

2001000020100 is a wasteful number, since it uses less digits than its factorization.

2001000020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670000084 (or 6670000077 counting only the distinct ones).

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

Adding to 2001000020100 its reverse (10200001002), we get a palindrome (2011200021102).

The spelling of 2001000020100 in words is "two trillion, one billion, twenty thousand, one hundred".