11102122000011 has 64 divisors (see below), whose sum is σ = 17356124160000. Its totient is φ = 6182009133696.

The previous prime is 11102121999959. The next prime is 11102122000019. The reversal of 11102122000011 is 11000022120111.

It is not a de Polignac number, because 11102122000011 - 2³⁴ = 11084942130827 is a prime.

It is a super-2 number, since 2×11102122000011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11102122000019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48324190 + ... + 48553388.

It is an arithmetic number, because the mean of its divisors is an integer number (271189440000).

Almost surely, 2^{11102122000011} is an apocalyptic number.

11102122000011 is a deficient number, since it is larger than the sum of its proper divisors (6254002159989).

11102122000011 is a wasteful number, since it uses less digits than its factorization.

11102122000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229648.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102122000011 its reverse (11000022120111), we get a palindrome (22102144120122).

The spelling of 11102122000011 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, eleven", and thus it is an aban number.