2012111200100 has 36 divisors (see below), whose sum is σ = 4366630869300. Its totient is φ = 804780044160.

The previous prime is 2012111200061. The next prime is 2012111200147. The reversal of 2012111200100 is 10021112102.

It can be written as a sum of positive squares in 6 ways, for example, as 934783452964 + 1077327747136 = 966842^2 + 1037944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459746 + ... + 2058054.

It is an arithmetic number, because the mean of its divisors is an integer number (121295301925).

Almost surely, 2^{2012111200100} is an apocalyptic number.

2012111200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012111200100 is an abundant number, since it is smaller than the sum of its proper divisors (2354519669200).

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

2012111200100 is a wasteful number, since it uses less digits than its factorization.

2012111200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610912 (or 1610905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2012111200100 its reverse (10021112102), we get a palindrome (2022132312202).

The spelling of 2012111200100 in words is "two trillion, twelve billion, one hundred eleven million, two hundred thousand, one hundred".