12102122101121 has 8 divisors (see below), whose sum is σ = 13037704290240. Its totient is φ = 11167204157712.

The previous prime is 12102122101057. The next prime is 12102122101123. The reversal of 12102122101121 is 12110122120121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12102122101121 - 2⁶ = 12102122101057 is a prime.

It is a super-2 number, since 2×12102122101121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12102122101121.

It is not an unprimeable number, because it can be changed into a prime (12102122101123) 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 7 ways as a sum of consecutive naturals, for example, 166023581 + ... + 166096458.

It is an arithmetic number, because the mean of its divisors is an integer number (1629713036280).

Almost surely, 2^{12102122101121} is an apocalyptic number.

It is an amenable number.

12102122101121 is a deficient number, since it is larger than the sum of its proper divisors (935582189119).

12102122101121 is a wasteful number, since it uses less digits than its factorization.

12102122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332122855.

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

Adding to 12102122101121 its reverse (12110122120121), we get a palindrome (24212244221242).

The spelling of 12102122101121 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".