2112120011121 has 16 divisors (see below), whose sum is σ = 2827106029440. Its totient is φ = 1402607903360.

The previous prime is 2112120011119. The next prime is 2112120011129. The reversal of 2112120011121 is 1211100212112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2112120011121 - 2¹ = 2112120011119 is a prime.

It is a super-2 number, since 2×2112120011121² (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 2112120011121.

It is not an unprimeable number, because it can be changed into a prime (2112120011129) 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, 9810451 + ... + 10023431.

It is an arithmetic number, because the mean of its divisors is an integer number (176694126840).

Almost surely, 2^{2112120011121} is an apocalyptic number.

It is an amenable number.

2112120011121 is a deficient number, since it is larger than the sum of its proper divisors (714986018319).

2112120011121 is a wasteful number, since it uses less digits than its factorization.

2112120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225816.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112120011121 its reverse (1211100212112), we get a palindrome (3323220223233).

The spelling of 2112120011121 in words is "two trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, one hundred twenty-one".