1010011001001 has 32 divisors (see below), whose sum is σ = 1376984446080. Its totient is φ = 658362691584.

The previous prime is 1010011000939. The next prime is 1010011001029. The reversal of 1010011001001 is 1001001100101.

It is not a de Polignac number, because 1010011001001 - 2⁹ = 1010011000489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010011001071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22149441 + ... + 22194993.

It is an arithmetic number, because the mean of its divisors is an integer number (43030763940).

Almost surely, 2^{1010011001001} is an apocalyptic number.

It is an amenable number.

1010011001001 is a deficient number, since it is larger than the sum of its proper divisors (366973445079).

1010011001001 is a wasteful number, since it uses less digits than its factorization.

1010011001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46505.

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

Adding to 1010011001001 its reverse (1001001100101), we get a palindrome (2011012101102).

It can be divided in two parts, 101001100100 and 1, that added together give a palindrome (101001100101).

The spelling of 1010011001001 in words is "one trillion, ten billion, eleven million, one thousand, one".