11121120000105 has 16 divisors (see below), whose sum is σ = 18367785291264. Its totient is φ = 5739932903040.

The previous prime is 11121120000077. The next prime is 11121120000131. The reversal of 11121120000105 is 50100002112111.

It is not a de Polignac number, because 11121120000105 - 2¹⁰ = 11121119999081 is a prime.

It is a super-4 number, since 4×11121120000105⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11958193084 + ... + 11958194013.

It is an arithmetic number, because the mean of its divisors is an integer number (1147986580704).

Almost surely, 2^{11121120000105} is an apocalyptic number.

11121120000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11121120000105 is a deficient number, since it is larger than the sum of its proper divisors (7246665291159).

11121120000105 is a wasteful number, since it uses less digits than its factorization.

11121120000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23916387136.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 11121120000105 its reverse (50100002112111), we get a palindrome (61221122112216).

The spelling of 11121120000105 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred five", and thus it is an aban number.