11202112000121 has 16 divisors (see below), whose sum is σ = 13558215758976. Its totient is φ = 9035185326336.

The previous prime is 11202112000117. The next prime is 11202112000129. The reversal of 11202112000121 is 12100021120211.

It is a cyclic number.

It is not a de Polignac number, because 11202112000121 - 2² = 11202112000117 is a prime.

It is a super-3 number, since 3×11202112000121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11202112000096 and 11202112000105.

It is not an unprimeable number, because it can be changed into a prime (11202112000129) 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 15 ways as a sum of consecutive naturals, for example, 8844626 + ... + 10031531.

It is an arithmetic number, because the mean of its divisors is an integer number (847388484936).

Almost surely, 2^{11202112000121} is an apocalyptic number.

It is an amenable number.

11202112000121 is a deficient number, since it is larger than the sum of its proper divisors (2356103758855).

11202112000121 is a wasteful number, since it uses less digits than its factorization.

11202112000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18881168.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11202112000121 its reverse (12100021120211), we get a palindrome (23302133120332).

The spelling of 11202112000121 in words is "eleven trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.