11022100100109 has 48 divisors (see below), whose sum is σ = 18987585926400. Its totient is φ = 6024096764928.

The previous prime is 11022100100101. The next prime is 11022100100171. The reversal of 11022100100109 is 90100100122011.

It is a happy number.

It is not a de Polignac number, because 11022100100109 - 2³ = 11022100100101 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11022100100091 and 11022100100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022100100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21963607 + ... + 22459835.

It is an arithmetic number, because the mean of its divisors is an integer number (395574706800).

Almost surely, 2^{11022100100109} is an apocalyptic number.

It is an amenable number.

11022100100109 is a deficient number, since it is larger than the sum of its proper divisors (7965485826291).

11022100100109 is a wasteful number, since it uses less digits than its factorization.

11022100100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511594 (or 511591 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 11022100100109 in words is "eleven trillion, twenty-two billion, one hundred million, one hundred thousand, one hundred nine".