2012100113123 has 16 divisors (see below), whose sum is σ = 2042852037120. Its totient is φ = 1981416729600.

The previous prime is 2012100113119. The next prime is 2012100113131. The reversal of 2012100113123 is 3213110012102.

It is a cyclic number.

It is not a de Polignac number, because 2012100113123 - 2² = 2012100113119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2012100113923) 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, 318821138 + ... + 318827448.

It is an arithmetic number, because the mean of its divisors is an integer number (127678252320).

Almost surely, 2^{2012100113123} is an apocalyptic number.

2012100113123 is a deficient number, since it is larger than the sum of its proper divisors (30751923997).

2012100113123 is a wasteful number, since it uses less digits than its factorization.

2012100113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10978.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2012100113123 its reverse (3213110012102), we get a palindrome (5225210125225).

The spelling of 2012100113123 in words is "two trillion, twelve billion, one hundred million, one hundred thirteen thousand, one hundred twenty-three".