12201101121121 has 8 divisors (see below), whose sum is σ = 13314447741024. Its totient is φ = 11088447102720.

The previous prime is 12201101121113. The next prime is 12201101121151. The reversal of 12201101121121 is 12112110110221.

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 12201101121121 - 2³ = 12201101121113 is a prime.

It is a super-2 number, since 2×12201101121121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201101121095 and 12201101121104.

It is not an unprimeable number, because it can be changed into a prime (12201101121151) 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, 173113536 + ... + 173184001.

It is an arithmetic number, because the mean of its divisors is an integer number (1664305967628).

Almost surely, 2^{12201101121121} is an apocalyptic number.

12201101121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201101121121 is a deficient number, since it is larger than the sum of its proper divisors (1113346619903).

12201101121121 is a wasteful number, since it uses less digits than its factorization.

12201101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346300751.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12201101121121 its reverse (12112110110221), we get a palindrome (24313211231342).

The spelling of 12201101121121 in words is "twelve trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".