2121013322121 has 16 divisors (see below), whose sum is σ = 2952967754880. Its totient is φ = 1351616914560.

The previous prime is 2121013322083. The next prime is 2121013322149. The reversal of 2121013322121 is 1212233101212.

It is not a de Polignac number, because 2121013322121 - 2¹⁹ = 2121012797833 is a prime.

It is a super-2 number, since 2×2121013322121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2121013322521) 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, 10275706 + ... + 10480083.

It is an arithmetic number, because the mean of its divisors is an integer number (184560484680).

Almost surely, 2^{2121013322121} is an apocalyptic number.

It is an amenable number.

2121013322121 is a deficient number, since it is larger than the sum of its proper divisors (831954432759).

2121013322121 is a wasteful number, since it uses less digits than its factorization.

2121013322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20757296.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2121013322121 its reverse (1212233101212), we get a palindrome (3333246423333).

The spelling of 2121013322121 in words is "two trillion, one hundred twenty-one billion, thirteen million, three hundred twenty-two thousand, one hundred twenty-one".