2002011120200 has 288 divisors, whose sum is σ = 5840812492200. Its totient is φ = 632551772160.

The previous prime is 2002011120199. The next prime is 2002011120211. The reversal of 2002011120200 is 20211102002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19721708356 + 1982289411844 = 140434^2 + 1407938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78593066 + ... + 78618534.

Almost surely, 2^{2002011120200} is an apocalyptic number.

2002011120200 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 2002011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920406246100).

2002011120200 is an abundant number, since it is smaller than the sum of its proper divisors (3838801372000).

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

2002011120200 is a wasteful number, since it uses less digits than its factorization.

2002011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26129 (or 26113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002011120200 its reverse (20211102002), we get a palindrome (2022222222202).

The spelling of 2002011120200 in words is "two trillion, two billion, eleven million, one hundred twenty thousand, two hundred".