2011111102 has 32 divisors (see below), whose sum is σ = 4050353664. Its totient is φ = 723276000.

The previous prime is 2011111097. The next prime is 2011111103.

2011111102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011111103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 500274 + ... + 504277.

It is an arithmetic number, because the mean of its divisors is an integer number (126573552).

Almost surely, 2^2011111102 is an apocalyptic number.

2011111102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2011111102 is an abundant number, since it is smaller than the sum of its proper divisors (2039242562).

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

2011111102 is a wasteful number, since it uses less digits than its factorization.

2011111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004584.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2011111102 is about 44845.4133886622. The cubic root of 2011111102 is about 1262.2499276876.

It can be divided in two parts, 20111 and 11102, that multiplied together give a palindrome (223272322).

The spelling of 2011111102 in words is "two billion, eleven million, one hundred eleven thousand, one hundred two".