11202133012121 has 16 divisors (see below), whose sum is σ = 11877952762368. Its totient is φ = 10528193990400.

The previous prime is 11202133012079. The next prime is 11202133012127. The reversal of 11202133012121 is 12121033120211.

It is a cyclic number.

It is not a de Polignac number, because 11202133012121 - 2²⁶ = 11202065903257 is a prime.

It is a super-2 number, since 2×11202133012121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11202133012093 and 11202133012102.

It is not an unprimeable number, because it can be changed into a prime (11202133012127) 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, 59229176 + ... + 59418006.

It is an arithmetic number, because the mean of its divisors is an integer number (742372047648).

Almost surely, 2^{11202133012121} is an apocalyptic number.

It is an amenable number.

11202133012121 is a deficient number, since it is larger than the sum of its proper divisors (675819750247).

11202133012121 is a wasteful number, since it uses less digits than its factorization.

11202133012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193792.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11202133012121 its reverse (12121033120211), we get a palindrome (23323166132332).

The spelling of 11202133012121 in words is "eleven trillion, two hundred two billion, one hundred thirty-three million, twelve thousand, one hundred twenty-one".