100406216401 has 8 divisors (see below), whose sum is σ = 101761367400. Its totient is φ = 99057596928.

The previous prime is 100406216381. The next prime is 100406216497. The reversal of 100406216401 is 104612604001.

It can be written as a sum of positive squares in 4 ways, for example, as 21498597376 + 78907619025 = 146624^2 + 280905^2 .

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 100406216401 - 2³⁵ = 66046478033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100406216201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1601926 + ... + 1663423.

It is an arithmetic number, because the mean of its divisors is an integer number (12720170925).

Almost surely, 2^100406216401 is an apocalyptic number.

It is an amenable number.

100406216401 is a deficient number, since it is larger than the sum of its proper divisors (1355150999).

100406216401 is an equidigital number, since it uses as much as digits as its factorization.

100406216401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265763.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 100406216401 in words is "one hundred billion, four hundred six million, two hundred sixteen thousand, four hundred one".