1001414104201 has 8 divisors (see below), whose sum is σ = 1144480230080. Its totient is φ = 858349720368.

The previous prime is 1001414104151. The next prime is 1001414104259. The reversal of 1001414104201 is 1024014141001.

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

It is not a de Polignac number, because 1001414104201 - 2⁷ = 1001414104073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001411104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1211635 + ... + 1863031.

It is an arithmetic number, because the mean of its divisors is an integer number (143060028760).

Almost surely, 2^{1001414104201} is an apocalyptic number.

It is an amenable number.

1001414104201 is a deficient number, since it is larger than the sum of its proper divisors (143066125879).

1001414104201 is an equidigital number, since it uses as much as digits as its factorization.

1001414104201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871023.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1001414104201 its reverse (1024014141001), we get a palindrome (2025428245202).

The spelling of 1001414104201 in words is "one trillion, one billion, four hundred fourteen million, one hundred four thousand, two hundred one".