2011102912 has 112 divisors (see below), whose sum is σ = 4952227840. Its totient is φ = 789046272.

The previous prime is 2011102909. The next prime is 2011102927. The reversal of 2011102912 is 2192011102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2011102912.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738289 + ... + 741007.

It is an arithmetic number, because the mean of its divisors is an integer number (44216320).

Almost surely, 2^2011102912 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 2011102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476113920).

2011102912 is an abundant number, since it is smaller than the sum of its proper divisors (2941124928).

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

2011102912 is a wasteful number, since it uses less digits than its factorization.

2011102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 2011102912 is about 44845.3220748831. The cubic root of 2011102912 is about 1262.2482142333.

The spelling of 2011102912 in words is "two billion, eleven million, one hundred two thousand, nine hundred twelve".