2012012112121 has 32 divisors (see below), whose sum is σ = 2302867998720. Its totient is φ = 1741301553600.

The previous prime is 2012012112113. The next prime is 2012012112127. The reversal of 2012012112121 is 1212112102102.

It is a cyclic number.

It is not a de Polignac number, because 2012012112121 - 2³ = 2012012112113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012012112095 and 2012012112104.

It is not an unprimeable number, because it can be changed into a prime (2012012112127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76866366 + ... + 76892536.

It is an arithmetic number, because the mean of its divisors is an integer number (71964624960).

Almost surely, 2^{2012012112121} is an apocalyptic number.

It is an amenable number.

2012012112121 is a deficient number, since it is larger than the sum of its proper divisors (290855886599).

2012012112121 is a wasteful number, since it uses less digits than its factorization.

2012012112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30285.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2012012112121 its reverse (1212112102102), we get a palindrome (3224124214223).

The spelling of 2012012112121 in words is "two trillion, twelve billion, twelve million, one hundred twelve thousand, one hundred twenty-one".