100011101110001 has 4 divisors (see below), whose sum is σ = 100019476559604. Its totient is φ = 100002725660400.

The previous prime is 100011101109949. The next prime is 100011101110007.

100011101110001 is nontrivially palindromic in base 10.

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 34404324870400 + 65606776239601 = 5865520^2 + 8099801^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011101110001 - 2¹⁸ = 100011100847857 is a prime.

100011101110001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011101110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4187706890 + ... + 4187730771.

It is an arithmetic number, because the mean of its divisors is an integer number (25004869139901).

Almost surely, 2^{100011101110001} is an apocalyptic number.

It is an amenable number.

100011101110001 is a deficient number, since it is larger than the sum of its proper divisors (8375449603).

100011101110001 is an equidigital number, since it uses as much as digits as its factorization.

100011101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375449602.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 10001110 and 1110001, that added together give a palindrome (11111111).

The spelling of 100011101110001 in words is "one hundred trillion, eleven billion, one hundred one million, one hundred ten thousand, one".