2012000012101 has 8 divisors (see below), whose sum is σ = 2141691321600. Its totient is φ = 1884688359840.

The previous prime is 2012000012047. The next prime is 2012000012123. The reversal of 2012000012101 is 1012100002102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2012000012101 - 2³⁹ = 1462244198213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012000012401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594912565 + ... + 594915946.

It is an arithmetic number, because the mean of its divisors is an integer number (267711415200).

Almost surely, 2^{2012000012101} is an apocalyptic number.

It is an amenable number.

2012000012101 is a deficient number, since it is larger than the sum of its proper divisors (129691309499).

2012000012101 is a wasteful number, since it uses less digits than its factorization.

2012000012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189828619.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012000012101 its reverse (1012100002102), we get a palindrome (3024100014203).

Subtracting from 2012000012101 its reverse (1012100002102), we obtain a palindrome (999900009999).

It can be divided in two parts, 201200001 and 2101, that added together give a palindrome (201202102).

The spelling of 2012000012101 in words is "two trillion, twelve billion, twelve thousand, one hundred one".