12102121221101 has 16 divisors (see below), whose sum is σ = 12745227327360. Its totient is φ = 11459631556800.

The previous prime is 12102121221083. The next prime is 12102121221131. The reversal of 12102121221101 is 10112212120121.

It is a cyclic number.

It is not a de Polignac number, because 12102121221101 - 2¹⁸ = 12102120958957 is a prime.

It is a super-2 number, since 2×12102121221101² (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 12102121221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102121221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629096855 + ... + 629116091.

It is an arithmetic number, because the mean of its divisors is an integer number (796576707960).

Almost surely, 2^{12102121221101} is an apocalyptic number.

It is an amenable number.

12102121221101 is a deficient number, since it is larger than the sum of its proper divisors (643106106259).

12102121221101 is a wasteful number, since it uses less digits than its factorization.

12102121221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33524.

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

Adding to 12102121221101 its reverse (10112212120121), we get a palindrome (22214333341222).

The spelling of 12102121221101 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".