10001001001101 has 16 divisors (see below), whose sum is σ = 14546996331840. Its totient is φ = 6061176984320.

The previous prime is 10001001001091. The next prime is 10001001001127. The reversal of 10001001001101 is 10110010010001.

It is a cyclic number.

It is not a de Polignac number, because 10001001001101 - 2⁷ = 10001001000973 is a prime.

It is a super-4 number, since 4×10001001001101⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10001001001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5461795 + ... + 7059263.

It is an arithmetic number, because the mean of its divisors is an integer number (909187270740).

Almost surely, 2^{10001001001101} is an apocalyptic number.

10001001001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001001001101 is a deficient number, since it is larger than the sum of its proper divisors (4545995330739).

10001001001101 is a wasteful number, since it uses less digits than its factorization.

10001001001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787196.

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

Adding to 10001001001101 its reverse (10110010010001), we get a palindrome (20111011011102).

The spelling of 10001001001101 in words is "ten trillion, one billion, one million, one thousand, one hundred one".