12201012122121 has 6 divisors (see below), whose sum is σ = 17623684176410. Its totient is φ = 8134008081408.

The previous prime is 12201012122093. The next prime is 12201012122209. The reversal of 12201012122121 is 12122121010221.

It can be written as a sum of positive squares in only one way, i.e., 7734294723600 + 4466717398521 = 2781060^2 + 2113461^2 .

It is not a de Polignac number, because 12201012122121 - 2³⁰ = 12199938380297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12201012122094 and 12201012122103.

It is not an unprimeable number, because it can be changed into a prime (12201012122821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677834006776 + ... + 677834006793.

Almost surely, 2^{12201012122121} is an apocalyptic number.

It is an amenable number.

12201012122121 is a deficient number, since it is larger than the sum of its proper divisors (5422672054289).

12201012122121 is a wasteful number, since it uses less digits than its factorization.

12201012122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355668013575 (or 1355668013572 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201012122121 its reverse (12122121010221), we get a palindrome (24323133132342).

The spelling of 12201012122121 in words is "twelve trillion, two hundred one billion, twelve million, one hundred twenty-two thousand, one hundred twenty-one".