11102011011009 has 24 divisors (see below), whose sum is σ = 16046888211432. Its totient is φ = 7396426794240.

The previous prime is 11102011010963. The next prime is 11102011011053. The reversal of 11102011011009 is 90011011020111.

It can be written as a sum of positive squares in 4 ways, for example, as 6636546225 + 11095374464784 = 81465^2 + 3330972^2 .

It is not a de Polignac number, because 11102011011009 - 2¹² = 11102011006913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11102011010982 and 11102011011000.

It is not an unprimeable number, because it can be changed into a prime (11102011011059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90923419 + ... + 91045439.

It is an arithmetic number, because the mean of its divisors is an integer number (668620342143).

Almost surely, 2^{11102011011009} is an apocalyptic number.

It is an amenable number.

11102011011009 is a deficient number, since it is larger than the sum of its proper divisors (4944877200423).

11102011011009 is a wasteful number, since it uses less digits than its factorization.

11102011011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128657 (or 128654 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 11102011011009 in words is "eleven trillion, one hundred two billion, eleven million, eleven thousand, nine".