1011100111011 has 18 divisors (see below), whose sum is σ = 1482601521492. Its totient is φ = 664006016520.

The previous prime is 1011100110949. The next prime is 1011100111013. The reversal of 1011100111011 is 1101110011101.

It is not a de Polignac number, because 1011100111011 - 2²⁵ = 1011066556579 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011100110984 and 1011100111002.

It is not an unprimeable number, because it can be changed into a prime (1011100111013) 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 17 ways as a sum of consecutive naturals, for example, 12472905 + ... + 12553706.

It is an arithmetic number, because the mean of its divisors is an integer number (82366751194).

Almost surely, 2^{1011100111011} is an apocalyptic number.

1011100111011 is a deficient number, since it is larger than the sum of its proper divisors (471501410481).

1011100111011 is an equidigital number, since it uses as much as digits as its factorization.

1011100111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25026751 (or 25026681 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1011100111011 its reverse (1101110011101), we get a palindrome (2112210122112).

The spelling of 1011100111011 in words is "one trillion, eleven billion, one hundred million, one hundred eleven thousand, eleven".