412013110020201 has 64 divisors (see below), whose sum is σ = 646574083948800. Its totient is φ = 258576712708608.

The previous prime is 412013110020191. The next prime is 412013110020299. The reversal of 412013110020201 is 102020011310214.

412013110020201 is a `hidden beast` number, since 412 + 0 + 1 + 31 + 1 + 0 + 0 + 20 + 201 = 666.

It is not a de Polignac number, because 412013110020201 - 2⁶ = 412013110020137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412013110020301) 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, 165345205 + ... + 167818541.

It is an arithmetic number, because the mean of its divisors is an integer number (10102720061700).

Almost surely, 2^{412013110020201} is an apocalyptic number.

It is an amenable number.

412013110020201 is a deficient number, since it is larger than the sum of its proper divisors (234560973928599).

412013110020201 is a wasteful number, since it uses less digits than its factorization.

412013110020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475415 (or 2475409 counting only the distinct ones).

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

Adding to 412013110020201 its reverse (102020011310214), we get a palindrome (514033121330415).

The spelling of 412013110020201 in words is "four hundred twelve trillion, thirteen billion, one hundred ten million, twenty thousand, two hundred one".