10001101110001 has 8 divisors (see below), whose sum is σ = 10028531689344. Its totient is φ = 9973671507600.

The previous prime is 10001101109953. The next prime is 10001101110019. The reversal of 10001101110001 is 10001110110001.

It is a happy number.

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 10001101110001 - 2¹³ = 10001101101809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001101110701) 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 7 ways as a sum of consecutive naturals, for example, 23386566 + ... + 23810368.

It is an arithmetic number, because the mean of its divisors is an integer number (1253566461168).

Almost surely, 2^{10001101110001} is an apocalyptic number.

It is an amenable number.

10001101110001 is a deficient number, since it is larger than the sum of its proper divisors (27430579343).

10001101110001 is an equidigital number, since it uses as much as digits as its factorization.

10001101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488471.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001101110001 its reverse (10001110110001), we get a palindrome (20002211220002).

Subtracting 10001101110001 from its reverse (10001110110001), we obtain a square (9000000 = 3000²).

The spelling of 10001101110001 in words is "ten trillion, one billion, one hundred one million, one hundred ten thousand, one".