10011001001001 has 128 divisors (see below), whose sum is σ = 19345866301440. Its totient is φ = 4433425920000.

The previous prime is 10011001000951. The next prime is 10011001001123. The reversal of 10011001001001 is 10010010011001.

It is not a de Polignac number, because 10011001001001 - 2¹³ = 10011000992809 is a prime.

10011001001001 is a modest number, since divided by 1001001 gives 10011 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10011001009001) 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 127 ways as a sum of consecutive naturals, for example, 496000 + ... + 4502001.

It is an arithmetic number, because the mean of its divisors is an integer number (151139580480).

Almost surely, 2^{10011001001001} is an apocalyptic number.

10011001001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011001001001 is a deficient number, since it is larger than the sum of its proper divisors (9334865300439).

10011001001001 is a wasteful number, since it uses less digits than its factorization.

10011001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998087.

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

Adding to 10011001001001 its reverse (10010010011001), we get a palindrome (20021011012002).

It can be divided in two parts, 1001 and 1001001001, that multiplied together give a palindrome (1002002002001).

The spelling of 10011001001001 in words is "ten trillion, eleven billion, one million, one thousand, one".