10111110111011 has 12 divisors (see below), whose sum is σ = 12666665414592. Its totient is φ = 7999999208208.

The previous prime is 10111110110977. The next prime is 10111110111023. The reversal of 10111110111011 is 11011101111101.

It is not a de Polignac number, because 10111110111011 - 2¹⁴ = 10111110094627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111110110983 and 10111110111001.

It is not an unprimeable number, because it can be changed into a prime (10111110111071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7936506515 + ... + 7936507788.

It is an arithmetic number, because the mean of its divisors is an integer number (1055555451216).

Almost surely, 2^{10111110111011} is an apocalyptic number.

10111110111011 is a deficient number, since it is larger than the sum of its proper divisors (2555555303581).

10111110111011 is a wasteful number, since it uses less digits than its factorization.

10111110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873014330 (or 15873014323 counting only the distinct ones).

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

Adding to 10111110111011 its reverse (11011101111101), we get a palindrome (21122211222112).

It can be divided in two parts, 101111101 and 11011, that multiplied together give a palindrome (1113334333111).

The spelling of 10111110111011 in words is "ten trillion, one hundred eleven billion, one hundred ten million, one hundred eleven thousand, eleven".