11121020122121 has 36 divisors (see below), whose sum is σ = 14015773457028. Its totient is φ = 8746346000448.

The previous prime is 11121020122103. The next prime is 11121020122139. The reversal of 11121020122121 is 12122102012111.

It is an interprime number because it is at equal distance from previous prime (11121020122103) and next prime (11121020122139).

It can be written as a sum of positive squares in 2 ways, for example, as 973450596496 + 10147569525625 = 986636^2 + 3185525^2 .

It is not a de Polignac number, because 11121020122121 - 2²⁶ = 11120953013257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11121020122121.

It is not an unprimeable number, because it can be changed into a prime (11121020142121) 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 35 ways as a sum of consecutive naturals, for example, 17452295 + ... + 18078291.

It is an arithmetic number, because the mean of its divisors is an integer number (389327040473).

Almost surely, 2^{11121020122121} is an apocalyptic number.

It is an amenable number.

11121020122121 is a deficient number, since it is larger than the sum of its proper divisors (2894753334907).

11121020122121 is an equidigital number, since it uses as much as digits as its factorization.

11121020122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626358 (or 626184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121020122121 its reverse (12122102012111), we get a palindrome (23243122134232).

The spelling of 11121020122121 in words is "eleven trillion, one hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twenty-one".