11011000101109 has 16 divisors (see below), whose sum is σ = 11706415418880. Its totient is φ = 10327231833840.

The previous prime is 11011000101103. The next prime is 11011000101131. The reversal of 11011000101109 is 90110100011011.

It is a cyclic number.

It is not a de Polignac number, because 11011000101109 - 2¹⁹ = 11010999576821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011000101092 and 11011000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000101103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6026034 + ... + 7637740.

It is an arithmetic number, because the mean of its divisors is an integer number (731650963680).

Almost surely, 2^{11011000101109} is an apocalyptic number.

11011000101109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11011000101109 is a deficient number, since it is larger than the sum of its proper divisors (695415317771).

11011000101109 is a wasteful number, since it uses less digits than its factorization.

11011000101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615320.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 11011000101109 in words is "eleven trillion, eleven billion, one hundred one thousand, one hundred nine".