100414310401 has 4 divisors (see below), whose sum is σ = 100757021652. Its totient is φ = 100071599152.

The previous prime is 100414310387. The next prime is 100414310419. The reversal of 100414310401 is 104013414001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87143040000 + 13271270401 = 295200^2 + 115201^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414310401 - 2⁵ = 100414310369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100414313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171355186 + ... + 171355771.

It is an arithmetic number, because the mean of its divisors is an integer number (25189255413).

Almost surely, 2^100414310401 is an apocalyptic number.

It is an amenable number.

100414310401 is a deficient number, since it is larger than the sum of its proper divisors (342711251).

100414310401 is an equidigital number, since it uses as much as digits as its factorization.

100414310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342711250.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100414310401 its reverse (104013414001), we get a palindrome (204427724402).

The spelling of 100414310401 in words is "one hundred billion, four hundred fourteen million, three hundred ten thousand, four hundred one".