2011110101112 has 96 divisors (see below), whose sum is σ = 5850570183120. Its totient is φ = 574412912640.

The previous prime is 2011110100973. The next prime is 2011110101129. The reversal of 2011110101112 is 2111010111102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 3295038 + ... + 3857394.

Almost surely, 2^{2011110101112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011110101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925285091560).

2011110101112 is an abundant number, since it is smaller than the sum of its proper divisors (3839460082008).

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

2011110101112 is a wasteful number, since it uses less digits than its factorization.

2011110101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565421 (or 565410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2011110101112 its reverse (2111010111102), we get a palindrome (4122120212214).

The spelling of 2011110101112 in words is "two trillion, eleven billion, one hundred ten million, one hundred one thousand, one hundred twelve".