2012002001121 has 64 divisors (see below), whose sum is σ = 3237147072000. Its totient is φ = 1109798726400.

The previous prime is 2012002001111. The next prime is 2012002001123. The reversal of 2012002001121 is 1211002002102.

It is not a de Polignac number, because 2012002001121 - 2¹⁴ = 2012001984737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012002001097 and 2012002001106.

It is not an unprimeable number, because it can be changed into a prime (2012002001123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225026511 + ... + 225035451.

It is an arithmetic number, because the mean of its divisors is an integer number (50580423000).

Almost surely, 2^{2012002001121} is an apocalyptic number.

2012002001121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012002001121 is a deficient number, since it is larger than the sum of its proper divisors (1225145070879).

2012002001121 is an equidigital number, since it uses as much as digits as its factorization.

2012002001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16535 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012002001121 its reverse (1211002002102), we get a palindrome (3223004003223).

The spelling of 2012002001121 in words is "two trillion, twelve billion, two million, one thousand, one hundred twenty-one".