1010011111001 has 4 divisors (see below), whose sum is σ = 1014421640100. Its totient is φ = 1005600581904.

The previous prime is 1010011110989. The next prime is 1010011111003. The reversal of 1010011111001 is 1001111100101.

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 689597376400 + 320413734601 = 830420^2 + 566051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010011111001 - 2¹⁰ = 1010011109977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010011111001.

It is not an unprimeable number, because it can be changed into a prime (1010011111003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2205264206 + ... + 2205264663.

It is an arithmetic number, because the mean of its divisors is an integer number (253605410025).

Almost surely, 2^{1010011111001} is an apocalyptic number.

It is an amenable number.

1010011111001 is a deficient number, since it is larger than the sum of its proper divisors (4410529099).

1010011111001 is an equidigital number, since it uses as much as digits as its factorization.

1010011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410529098.

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

Adding to 1010011111001 its reverse (1001111100101), we get a palindrome (2011122211102).

The spelling of 1010011111001 in words is "one trillion, ten billion, eleven million, one hundred eleven thousand, one".