11006001011121 has 16 divisors (see below), whose sum is σ = 14929899990720. Its totient is φ = 7209826499520.

The previous prime is 11006001011051. The next prime is 11006001011177. The reversal of 11006001011121 is 12111010060011.

It is not a de Polignac number, because 11006001011121 - 2²² = 11005996816817 is a prime.

It is a super-2 number, since 2×11006001011121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11006001011121.

It is not an unprimeable number, because it can be changed into a prime (11006001011191) 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, 13152970 + ... + 13964691.

It is an arithmetic number, because the mean of its divisors is an integer number (933118749420).

Almost surely, 2^{11006001011121} is an apocalyptic number.

It is an amenable number.

11006001011121 is a deficient number, since it is larger than the sum of its proper divisors (3923898979599).

11006001011121 is a wasteful number, since it uses less digits than its factorization.

11006001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27120016.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11006001011121 its reverse (12111010060011), we get a palindrome (23117011071132).

The spelling of 11006001011121 in words is "eleven trillion, six billion, one million, eleven thousand, one hundred twenty-one".