2011121220200 has 48 divisors (see below), whose sum is σ = 4764080575980. Its totient is φ = 789270210560.

The previous prime is 2011121220167. The next prime is 2011121220209. The reversal of 2011121220200 is 20221211102.

It can be written as a sum of positive squares in 6 ways, for example, as 1196315312644 + 814805907556 = 1093762^2 + 902666^2 .

It is not an unprimeable number, because it can be changed into a prime (2011121220209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94853609 + ... + 94874808.

Almost surely, 2^{2011121220200} is an apocalyptic number.

2011121220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011121220200 is an abundant number, since it is smaller than the sum of its proper divisors (2752959355780).

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

2011121220200 is a wasteful number, since it uses less digits than its factorization.

2011121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189728486 (or 189728477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011121220200 its reverse (20221211102), we get a palindrome (2031342431302).

The spelling of 2011121220200 in words is "two trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".