2011112110100 has 36 divisors (see below), whose sum is σ = 4364847665724. Its totient is φ = 804309473280.

The previous prime is 2011112110097. The next prime is 2011112110127. The reversal of 2011112110100 is 10112111102.

It can be written as a sum of positive squares in 6 ways, for example, as 140749527556 + 1870362582544 = 375166^2 + 1367612^2 .

It is a congruent number.

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, 1093859 + ... + 2284458.

Almost surely, 2^{2011112110100} is an apocalyptic number.

2011112110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011112110100 is an abundant number, since it is smaller than the sum of its proper divisors (2353735555624).

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

2011112110100 is a wasteful number, since it uses less digits than its factorization.

2011112110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384284 (or 3384277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011112110100 its reverse (10112111102), we get a palindrome (2021224221202).

It can be divided in two parts, 2011112 and 110100, that added together give a palindrome (2121212).

The spelling of 2011112110100 in words is "two trillion, eleven billion, one hundred twelve million, one hundred ten thousand, one hundred".