10101001110001 has 16 divisors (see below), whose sum is σ = 10188577986048. Its totient is φ = 10013914785600.

The previous prime is 10101001109981. The next prime is 10101001110007. The reversal of 10101001110001 is 10001110010101.

It is a happy number.

10101001110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101001110001 - 2²¹ = 10100999012849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101001110007) 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, 44888911 + ... + 45113371.

It is an arithmetic number, because the mean of its divisors is an integer number (636786124128).

Almost surely, 2^{10101001110001} is an apocalyptic number.

It is an amenable number.

10101001110001 is a deficient number, since it is larger than the sum of its proper divisors (87576876047).

10101001110001 is a wasteful number, since it uses less digits than its factorization.

10101001110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225552.

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

Adding to 10101001110001 its reverse (10001110010101), we get a palindrome (20102111120102).

The spelling of 10101001110001 in words is "ten trillion, one hundred one billion, one million, one hundred ten thousand, one".