2012122102113 has 64 divisors (see below), whose sum is σ = 3039068160000. Its totient is φ = 1315662109776.

The previous prime is 2012122102103. The next prime is 2012122102117. The reversal of 2012122102113 is 3112012212102.

It is not a de Polignac number, because 2012122102113 - 2¹⁰ = 2012122101089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012122102117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4200672208 + ... + 4200672686.

It is an arithmetic number, because the mean of its divisors is an integer number (47485440000).

Almost surely, 2^{2012122102113} is an apocalyptic number.

It is an amenable number.

2012122102113 is a deficient number, since it is larger than the sum of its proper divisors (1026946057887).

2012122102113 is an frugal number, since it uses more digits than its factorization.

2012122102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2012122102113 its reverse (3112012212102), we get a palindrome (5124134314215).

The spelling of 2012122102113 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred thirteen".