2121110122121 has 16 divisors (see below), whose sum is σ = 2231569440000. Its totient is φ = 2013142594176.

The previous prime is 2121110122069. The next prime is 2121110122147. The reversal of 2121110122121 is 1212210111212.

It is a de Polignac number, because none of the positive numbers 2^k-2121110122121 is a prime.

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 2121110122121.

It is not an unprimeable number, because it can be changed into a prime (2121110122721) 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, 57606365 + ... + 57643173.

It is an arithmetic number, because the mean of its divisors is an integer number (139473090000).

Almost surely, 2^{2121110122121} is an apocalyptic number.

It is an amenable number.

2121110122121 is a deficient number, since it is larger than the sum of its proper divisors (110459317879).

2121110122121 is a wasteful number, since it uses less digits than its factorization.

2121110122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70576.

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

Adding to 2121110122121 its reverse (1212210111212), we get a palindrome (3333320233333).

The spelling of 2121110122121 in words is "two trillion, one hundred twenty-one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty-one".