1010001110001 has 48 divisors (see below), whose sum is σ = 1520293997376. Its totient is φ = 595629635328.

The previous prime is 1010001109963. The next prime is 1010001110009. The reversal of 1010001110001 is 1000111000101.

It is not a de Polignac number, because 1010001110001 - 2¹¹ = 1010001107953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010001110009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718395 + ... + 1592511.

It is an arithmetic number, because the mean of its divisors is an integer number (31672791612).

Almost surely, 2^{1010001110001} is an apocalyptic number.

It is an amenable number.

1010001110001 is a deficient number, since it is larger than the sum of its proper divisors (510292887375).

1010001110001 is a wasteful number, since it uses less digits than its factorization.

1010001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874242 (or 874229 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010001110001 its reverse (1000111000101), we get a palindrome (2010112110102).

The spelling of 1010001110001 in words is "one trillion, ten billion, one million, one hundred ten thousand, one".