200001111121 has 48 divisors (see below), whose sum is σ = 241174720080. Its totient is φ = 165258240000.

The previous prime is 200001111071. The next prime is 200001111181. The reversal of 200001111121 is 121111100002.

200001111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10519374096 + 189481737025 = 102564^2 + 435295^2 .

It is not a de Polignac number, because 200001111121 - 2⁷ = 200001110993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200001111098 and 200001111107.

It is not an unprimeable number, because it can be changed into a prime (200001111181) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 188501931 + ... + 188502991.

It is an arithmetic number, because the mean of its divisors is an integer number (5024473335).

Almost surely, 2^200001111121 is an apocalyptic number.

It is an amenable number.

200001111121 is a deficient number, since it is larger than the sum of its proper divisors (41173608959).

200001111121 is a wasteful number, since it uses less digits than its factorization.

200001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 200001111121 its reverse (121111100002), we get a palindrome (321112211123).

The spelling of 200001111121 in words is "two hundred billion, one million, one hundred eleven thousand, one hundred twenty-one".