10001110101001 has 4 divisors (see below), whose sum is σ = 10323726555904. Its totient is φ = 9678493646100.

The previous prime is 10001110100987. The next prime is 10001110101013. The reversal of 10001110101001 is 10010101110001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001110101001 - 2¹⁹ = 10001109576713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001110101041) 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, 161308227405 + ... + 161308227466.

It is an arithmetic number, because the mean of its divisors is an integer number (2580931638976).

Almost surely, 2^{10001110101001} is an apocalyptic number.

It is an amenable number.

10001110101001 is a deficient number, since it is larger than the sum of its proper divisors (322616454903).

10001110101001 is an equidigital number, since it uses as much as digits as its factorization.

10001110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322616454902.

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

Adding to 10001110101001 its reverse (10010101110001), we get a palindrome (20011211211002).

The spelling of 10001110101001 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, one".