11102102100011 has 16 divisors (see below), whose sum is σ = 12067763198400. Its totient is φ = 10152833518080.

The previous prime is 11102102099999. The next prime is 11102102100029. The reversal of 11102102100011 is 11000120120111.

It is a cyclic number.

It is not a de Polignac number, because 11102102100011 - 2⁴² = 6704055588907 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11102102099965 and 11102102100001.

It is not an unprimeable number, because it can be changed into a prime (11102102100311) 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 15 ways as a sum of consecutive naturals, for example, 8606450 + ... + 9811991.

It is an arithmetic number, because the mean of its divisors is an integer number (754235199900).

Almost surely, 2^{11102102100011} is an apocalyptic number.

11102102100011 is a deficient number, since it is larger than the sum of its proper divisors (965661098389).

11102102100011 is a wasteful number, since it uses less digits than its factorization.

11102102100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18418886.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11102102100011 its reverse (11000120120111), we get a palindrome (22102222220122).

The spelling of 11102102100011 in words is "eleven trillion, one hundred two billion, one hundred two million, one hundred thousand, eleven".