100000400001 has 16 divisors (see below), whose sum is σ = 133959512064. Its totient is φ = 66354235344.

The previous prime is 100000399997. The next prime is 100000400009. The reversal of 100000400001 is 100004000001.

It is not a de Polignac number, because 100000400001 - 2² = 100000399997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000400009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3992820 + ... + 4017786.

It is an arithmetic number, because the mean of its divisors is an integer number (8372469504).

Almost surely, 2^100000400001 is an apocalyptic number.

It is an amenable number.

100000400001 is a deficient number, since it is larger than the sum of its proper divisors (33959112063).

100000400001 is a wasteful number, since it uses less digits than its factorization.

100000400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31180.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100000400001 its reverse (100004000001), we get a palindrome (200004400002).

The spelling of 100000400001 in words is "one hundred billion, four hundred thousand, one".