2001200020100 has 36 divisors (see below), whose sum is σ = 4343147997300. Its totient is φ = 800379740160.

The previous prime is 2001200020091. The next prime is 2001200020117. The reversal of 2001200020100 is 10200021002.

It can be written as a sum of positive squares in 6 ways, for example, as 146831510596 + 1854368509504 = 383186^2 + 1361752^2 .

It is a super-3 number, since 3×2001200020100³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448445 + ... + 2050244.

It is an arithmetic number, because the mean of its divisors is an integer number (120642999925).

Almost surely, 2^{2001200020100} is an apocalyptic number.

2001200020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001200020100 is an abundant number, since it is smaller than the sum of its proper divisors (2341947977200).

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

2001200020100 is a wasteful number, since it uses less digits than its factorization.

2001200020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506712 (or 2506705 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 2001200020100 its reverse (10200021002), we get a palindrome (2011400041102).

The spelling of 2001200020100 in words is "two trillion, one billion, two hundred million, twenty thousand, one hundred".