200112002100000 has 864 divisors, whose sum is σ = 722795869478592. Its totient is φ = 52501996800000.

The previous prime is 200112002099969. The next prime is 200112002100037. The reversal of 200112002100000 is 1200211002.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 67355098515 + ... + 67355101485.

It is an arithmetic number, because the mean of its divisors is an integer number (836569293378).

Almost surely, 2^{200112002100000} is an apocalyptic number.

200112002100000 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 200112002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361397934739296).

200112002100000 is an abundant number, since it is smaller than the sum of its proper divisors (522683867378592).

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

200112002100000 is a wasteful number, since it uses less digits than its factorization.

200112002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4165 counting only the distinct ones).

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

Adding to 200112002100000 its reverse (1200211002), we get a palindrome (200113202311002).

It can be divided in two parts, 200112002 and 100000, that added together give a palindrome (200212002).

The spelling of 200112002100000 in words is "two hundred trillion, one hundred twelve billion, two million, one hundred thousand".