200001112002000 has 120 divisors (see below), whose sum is σ = 698537217248520. Its totient is φ = 53333629862400.

The previous prime is 200001112001993. The next prime is 200001112002007. The reversal of 200001112002000 is 200211100002.

200001112002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200001112001993) and next prime (200001112002007).

It can be written as a sum of positive squares in 4 ways, for example, as 22765036497984 + 177236075504016 = 4771272^2 + 13313004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001112002007) 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, 5555568445 + ... + 5555604444.

It is an arithmetic number, because the mean of its divisors is an integer number (5821143477071).

Almost surely, 2^{200001112002000} is an apocalyptic number.

200001112002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001112002000 is an abundant number, since it is smaller than the sum of its proper divisors (498536105246520).

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

200001112002000 is a wasteful number, since it uses less digits than its factorization.

200001112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111172918 (or 11111172899 counting only the distinct ones).

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

Adding to 200001112002000 its reverse (200211100002), we get a palindrome (200201323102002).

The spelling of 200001112002000 in words is "two hundred trillion, one billion, one hundred twelve million, two thousand".