11012111011111 has 24 divisors (see below), whose sum is σ = 12712098936480. Its totient is φ = 9344770307136.

The previous prime is 11012111011039. The next prime is 11012111011219. The reversal of 11012111011111 is 11111011121011.

It is not a de Polignac number, because 11012111011111 - 2¹⁷ = 11012110880039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11012111011091 and 11012111011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012111041111) 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 23 ways as a sum of consecutive naturals, for example, 303940345 + ... + 303976573.

It is an arithmetic number, because the mean of its divisors is an integer number (529670789020).

Almost surely, 2^{11012111011111} is an apocalyptic number.

11012111011111 is a deficient number, since it is larger than the sum of its proper divisors (1699987925369).

11012111011111 is an equidigital number, since it uses as much as digits as its factorization.

11012111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40535 (or 40432 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 11012111011111 its reverse (11111011121011), we get a palindrome (22123122132122).

The spelling of 11012111011111 in words is "eleven trillion, twelve billion, one hundred eleven million, eleven thousand, one hundred eleven".