1001414414201 has 8 divisors (see below), whose sum is σ = 1041501536064. Its totient is φ = 962090856720.

The previous prime is 1001414414183. The next prime is 1001414414227. The reversal of 1001414414201 is 1024144141001.

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 1001414414201 - 2⁶ = 1001414414137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001414414291) 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 7 ways as a sum of consecutive naturals, for example, 190888421 + ... + 190893666.

It is an arithmetic number, because the mean of its divisors is an integer number (130187692008).

Almost surely, 2^{1001414414201} is an apocalyptic number.

It is an amenable number.

1001414414201 is a deficient number, since it is larger than the sum of its proper divisors (40087121863).

1001414414201 is an equidigital number, since it uses as much as digits as its factorization.

1001414414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381782191.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 1001414414201 its reverse (1024144141001), we get a palindrome (2025558555202).

The spelling of 1001414414201 in words is "one trillion, one billion, four hundred fourteen million, four hundred fourteen thousand, two hundred one".