2012120101121 has 16 divisors (see below), whose sum is σ = 2169941687760. Its totient is φ = 1854734837760.

The previous prime is 2012120101073. The next prime is 2012120101141. The reversal of 2012120101121 is 1211010212102.

It can be written as a sum of positive squares in 8 ways, for example, as 62287680625 + 1949832420496 = 249575^2 + 1396364^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012120101121 - 2³⁰ = 2011046359297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012120101096 and 2012120101105.

It is not an unprimeable number, because it can be changed into a prime (2012120101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31942985 + ... + 32005913.

It is an arithmetic number, because the mean of its divisors is an integer number (135621355485).

Almost surely, 2^{2012120101121} is an apocalyptic number.

It is an amenable number.

2012120101121 is a deficient number, since it is larger than the sum of its proper divisors (157821586639).

2012120101121 is a wasteful number, since it uses less digits than its factorization.

2012120101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66356.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2012120101121 its reverse (1211010212102), we get a palindrome (3223130313223).

The spelling of 2012120101121 in words is "two trillion, twelve billion, one hundred twenty million, one hundred one thousand, one hundred twenty-one".