2010112011 has 64 divisors (see below), whose sum is σ = 3360268800. Its totient is φ = 1180044288.

The previous prime is 2010111997. The next prime is 2010112019. The reversal of 2010112011 is 1102110102.

It is a happy number.

It is not a de Polignac number, because 2010112011 - 2¹⁴ = 2010095627 is a prime.

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 = 2010111984 and 2010112002.

It is not an unprimeable number, because it can be changed into a prime (2010112019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722455 + ... + 725231.

It is an arithmetic number, because the mean of its divisors is an integer number (52504200).

Almost surely, 2^2010112011 is an apocalyptic number.

2010112011 is a deficient number, since it is larger than the sum of its proper divisors (1350156789).

2010112011 is a wasteful number, since it uses less digits than its factorization.

2010112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

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

The square root of 2010112011 is about 44834.2727274571. The cubic root of 2010112011 is about 1262.0408705431.

Adding to 2010112011 its reverse (1102110102), we get a palindrome (3112222113).

The spelling of 2010112011 in words is "two billion, ten million, one hundred twelve thousand, eleven".