12122101211121 has 32 divisors (see below), whose sum is σ = 19594744266240. Its totient is φ = 7345426914000.

The previous prime is 12122101211069. The next prime is 12122101211123. The reversal of 12122101211121 is 12111210122121.

It is a happy number.

12122101211121 is a `hidden beast` number, since 1 + 212 + 210 + 121 + 1 + 121 = 666.

It is not a de Polignac number, because 12122101211121 - 2³⁴ = 12104921341937 is a prime.

It is a super-2 number, since 2×12122101211121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122101211094 and 12122101211103.

It is not an unprimeable number, because it can be changed into a prime (12122101211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1932975 + ... + 5289668.

It is an arithmetic number, because the mean of its divisors is an integer number (612335758320).

Almost surely, 2^{12122101211121} is an apocalyptic number.

12122101211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122101211121 is a deficient number, since it is larger than the sum of its proper divisors (7472643055119).

12122101211121 is a wasteful number, since it uses less digits than its factorization.

12122101211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228314 (or 7228308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122101211121 its reverse (12111210122121), we get a palindrome (24233311333242).

The spelling of 12122101211121 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".