2011010112 has 112 divisors (see below), whose sum is σ = 5923198720. Its totient is φ = 669067776.

The previous prime is 2011010101. The next prime is 2011010123. The reversal of 2011010112 is 2110101102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2011010101) and next prime (2011010123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011010094 and 2011010103.

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, 1514793 + ... + 1516119.

Almost surely, 2^2011010112 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 2011010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961599360).

2011010112 is an abundant number, since it is smaller than the sum of its proper divisors (3912188608).

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

2011010112 is a wasteful number, since it uses less digits than its factorization.

2011010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011010112 is about 44844.2873953863. The cubic root of 2011010112 is about 1262.2287989437.

Adding to 2011010112 its reverse (2110101102), we get a palindrome (4121111214).

The spelling of 2011010112 in words is "two billion, eleven million, ten thousand, one hundred twelve".