100110001 has 4 divisors (see below), whose sum is σ = 103562100. Its totient is φ = 96657904.

The previous prime is 100109983. The next prime is 100110013. The reversal of 100110001 is 100011001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100011001 = 7757 ⋅12893.

It can be written as a sum of positive squares in 2 ways, for example, as 55487601 + 44622400 = 7449^2 + 6680^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110001 - 2¹³ = 100101809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1726006 + ... + 1726063.

It is an arithmetic number, because the mean of its divisors is an integer number (25890525).

Almost surely, 2^100110001 is an apocalyptic number.

It is an amenable number.

100110001 is a deficient number, since it is larger than the sum of its proper divisors (3452099).

100110001 is an equidigital number, since it uses as much as digits as its factorization.

100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452098.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 100110001 is about 10005.4985383038. The cubic root of 100110001 is about 464.3290141324.

Adding to 100110001 its reverse (100011001), we get a palindrome (200121002).

It can be divided in two parts, 10011000 and 1, that added together give a palindrome (10011001).

The spelling of 100110001 in words is "one hundred million, one hundred ten thousand, one".