2012110201100 has 72 divisors (see below), whose sum is σ = 4616694512640. Its totient is φ = 759064495680.

The previous prime is 2012110201093. The next prime is 2012110201109. The reversal of 2012110201100 is 11020112102.

It is a super-2 number, since 2×2012110201100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012110201109) 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 23 ways as a sum of consecutive naturals, for example, 1950752 + ... + 2798151.

It is an arithmetic number, because the mean of its divisors is an integer number (64120757120).

Almost surely, 2^{2012110201100} is an apocalyptic number.

2012110201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012110201100 is an abundant number, since it is smaller than the sum of its proper divisors (2604584311540).

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

2012110201100 is a wasteful number, since it uses less digits than its factorization.

2012110201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749159 (or 4749152 counting only the distinct ones).

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

Adding to 2012110201100 its reverse (11020112102), we get a palindrome (2023130313202).

The spelling of 2012110201100 in words is "two trillion, twelve billion, one hundred ten million, two hundred one thousand, one hundred".