120413201410001 has 2 divisors, whose sum is σ = 120413201410002. Its totient is φ = 120413201410000.

The previous prime is 120413201409979. The next prime is 120413201410037. The reversal of 120413201410001 is 100014102314021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71906991080401 + 48506210329600 = 8479799^2 + 6964640^2 .

It is a cyclic number.

It is not a de Polignac number, because 120413201410001 - 2⁶ = 120413201409937 is a prime.

It is not a weakly prime, because it can be changed into another prime (120413201410501) 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 as a sum of consecutive naturals, namely, 60206600705000 + 60206600705001.

It is an arithmetic number, because the mean of its divisors is an integer number (60206600705001).

Almost surely, 2^{120413201410001} is an apocalyptic number.

It is an amenable number.

120413201410001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120413201410001 is an equidigital number, since it uses as much as digits as its factorization.

120413201410001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 120413201410001 its reverse (100014102314021), we get a palindrome (220427303724022).

The spelling of 120413201410001 in words is "one hundred twenty trillion, four hundred thirteen billion, two hundred one million, four hundred ten thousand, one".