11121011011012 has 36 divisors (see below), whose sum is σ = 22645078257900. Its totient is φ = 4764910256064.

The previous prime is 11121011011003. The next prime is 11121011011013. The reversal of 11121011011012 is 21011011012111.

It can be written as a sum of positive squares in 2 ways, for example, as 7138974796996 + 3982036214016 = 2671886^2 + 1995504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11121011010983 and 11121011011001.

It is not an unprimeable number, because it can be changed into a prime (11121011011013) 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 11 ways as a sum of consecutive naturals, for example, 6607887 + ... + 8118262.

Almost surely, 2^{11121011011012} is an apocalyptic number.

It is an amenable number.

11121011011012 is an abundant number, since it is smaller than the sum of its proper divisors (11524067246888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121011011012 is a wasteful number, since it uses less digits than its factorization.

11121011011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14730020 (or 14730011 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11121011011012 its reverse (21011011012111), we get a palindrome (32132022023123).

It can be divided in two parts, 111 and 21011011012, that multiplied together give a palindrome (2332222222332).

The spelling of 11121011011012 in words is "eleven trillion, one hundred twenty-one billion, eleven million, eleven thousand, twelve".