2112342414201 has 12 divisors (see below), whose sum is σ = 3056106429012. Its totient is φ = 1405945892736.

The previous prime is 2112342414131. The next prime is 2112342414209. The reversal of 2112342414201 is 1024142432112.

2112342414201 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 3 + 42 + 414 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306877221225 + 1805465192976 = 553965^2 + 1343676^2 .

It is not a de Polignac number, because 2112342414201 - 2⁷ = 2112342414073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112342414209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190192756 + ... + 190203861.

It is an arithmetic number, because the mean of its divisors is an integer number (254675535751).

Almost surely, 2^{2112342414201} is an apocalyptic number.

It is an amenable number.

2112342414201 is a deficient number, since it is larger than the sum of its proper divisors (943764014811).

2112342414201 is a wasteful number, since it uses less digits than its factorization.

2112342414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380397240 (or 380397237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2112342414201 its reverse (1024142432112), we get a palindrome (3136484846313).

The spelling of 2112342414201 in words is "two trillion, one hundred twelve billion, three hundred forty-two million, four hundred fourteen thousand, two hundred one".