2002011100200 has 72 divisors (see below), whose sum is σ = 6723420617550. Its totient is φ = 533869626240.

The previous prime is 2002011100139. The next prime is 2002011100213. The reversal of 2002011100200 is 20011102002.

It can be written as a sum of positive squares in 3 ways, for example, as 1806029580996 + 195981519204 = 1343886^2 + 442698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556112395 + ... + 556115994.

Almost surely, 2^{2002011100200} is an apocalyptic number.

2002011100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011100200 is an abundant number, since it is smaller than the sum of its proper divisors (4721409517350).

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

2002011100200 is a wasteful number, since it uses less digits than its factorization.

2002011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112228411 (or 1112228399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002011100200 its reverse (20011102002), we get a palindrome (2022022202202).

The spelling of 2002011100200 in words is "two trillion, two billion, eleven million, one hundred thousand, two hundred".