2011112212100 has 36 divisors (see below), whose sum is σ = 4407322566948. Its totient is φ = 796480080000.

The previous prime is 2011112212079. The next prime is 2011112212237. The reversal of 2011112212100 is 12122111102.

It can be written as a sum of positive squares in 6 ways, for example, as 60827343424 + 1950284868676 = 246632^2 + 1396526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99549911 + ... + 99570110.

Almost surely, 2^{2011112212100} is an apocalyptic number.

2011112212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011112212100 is an abundant number, since it is smaller than the sum of its proper divisors (2396210354848).

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

2011112212100 is a wasteful number, since it uses less digits than its factorization.

2011112212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199120136 (or 199120129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2011112212100 its reverse (12122111102), we get a palindrome (2023234323202).

The spelling of 2011112212100 in words is "two trillion, eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred".