2011512111 has 16 divisors (see below), whose sum is σ = 3139922688. Its totient is φ = 1121400000.

The previous prime is 2011512089. The next prime is 2011512119. The reversal of 2011512111 is 1112151102.

It is not a de Polignac number, because 2011512111 - 2⁶ = 2011512047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011512119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167265 + ... + 1168986.

It is an arithmetic number, because the mean of its divisors is an integer number (196245168).

Almost surely, 2^2011512111 is an apocalyptic number.

2011512111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2011512111 is a deficient number, since it is larger than the sum of its proper divisors (1128410577).

2011512111 is a wasteful number, since it uses less digits than its factorization.

2011512111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336302.

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 2011512111 is about 44849.8841804525. The cubic root of 2011512111 is about 1262.3338182861. Note that the first 3 decimals are identical.

Adding to 2011512111 its reverse (1112151102), we get a palindrome (3123663213).

The spelling of 2011512111 in words is "two billion, eleven million, five hundred twelve thousand, one hundred eleven".