2112121101221 has 16 divisors (see below), whose sum is σ = 2218353609600. Its totient is φ = 2007098533440.

The previous prime is 2112121101199. The next prime is 2112121101229. The reversal of 2112121101221 is 1221011212112.

It is a cyclic number.

It is not a de Polignac number, because 2112121101221 - 2³⁰ = 2111047359397 is a prime.

It is a super-2 number, since 2×2112121101221² (a number of 25 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 2112121101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121101229) 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 15 ways as a sum of consecutive naturals, for example, 9445691 + ... + 9666711.

It is an arithmetic number, because the mean of its divisors is an integer number (138647100600).

Almost surely, 2^{2112121101221} is an apocalyptic number.

It is an amenable number.

2112121101221 is a deficient number, since it is larger than the sum of its proper divisors (106232508379).

2112121101221 is a wasteful number, since it uses less digits than its factorization.

2112121101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223756.

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

Adding to 2112121101221 its reverse (1221011212112), we get a palindrome (3333132313333).

The spelling of 2112121101221 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty-one".