10111111011011 has 4 divisors (see below), whose sum is σ = 10111134972792. Its totient is φ = 10111087049232.

The previous prime is 10111111010971. The next prime is 10111111011019. The reversal of 10111111011011 is 11011011111101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10111111011011 - 2¹⁴ = 10111110994627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111111010983 and 10111111011001.

It is not an unprimeable number, because it can be changed into a prime (10111111011019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11336381 + ... + 12195726.

It is an arithmetic number, because the mean of its divisors is an integer number (2527783743198).

Almost surely, 2^{10111111011011} is an apocalyptic number.

10111111011011 is a deficient number, since it is larger than the sum of its proper divisors (23961781).

10111111011011 is an equidigital number, since it uses as much as digits as its factorization.

10111111011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23961780.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111111011011 its reverse (11011011111101), we get a palindrome (21122122122112).

The spelling of 10111111011011 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, eleven".