2112201121121 has 24 divisors (see below), whose sum is σ = 2785320175680. Its totient is φ = 1583234608032.

The previous prime is 2112201121117. The next prime is 2112201121171. The reversal of 2112201121121 is 1211211022112.

It is not a de Polignac number, because 2112201121121 - 2² = 2112201121117 is a prime.

It is a super-2 number, since 2×2112201121121² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112201121121.

It is not an unprimeable number, because it can be changed into a prime (2112201121171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87247301 + ... + 87271506.

It is an arithmetic number, because the mean of its divisors is an integer number (116055007320).

Almost surely, 2^{2112201121121} is an apocalyptic number.

It is an amenable number.

2112201121121 is a deficient number, since it is larger than the sum of its proper divisors (673119054559).

2112201121121 is a wasteful number, since it uses less digits than its factorization.

2112201121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174518853 (or 174518846 counting only the distinct ones).

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

Adding to 2112201121121 its reverse (1211211022112), we get a palindrome (3323412143233).

Subtracting from 2112201121121 its reverse (1211211022112), we obtain a palindrome (900990099009).

It can be divided in two parts, 2112201 and 121121, that added together give a palindrome (2233322).

The spelling of 2112201121121 in words is "two trillion, one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".