10011101101001 has 16 divisors (see below), whose sum is σ = 13441478402688. Its totient is φ = 7200792000000.

The previous prime is 10011101100977. The next prime is 10011101101039. The reversal of 10011101101001 is 10010110111001.

It is a cyclic number.

It is not a de Polignac number, because 10011101101001 - 2¹⁰ = 10011101099977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10011101101001.

It is not an unprimeable number, because it can be changed into a prime (10011101101051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5000549000 + ... + 5000551001.

It is an arithmetic number, because the mean of its divisors is an integer number (840092400168).

Almost surely, 2^{10011101101001} is an apocalyptic number.

10011101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011101101001 is a deficient number, since it is larger than the sum of its proper divisors (3430377301687).

10011101101001 is a wasteful number, since it uses less digits than its factorization.

10011101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001100032.

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

Adding to 10011101101001 its reverse (10010110111001), we get a palindrome (20021211212002).

The spelling of 10011101101001 in words is "ten trillion, eleven billion, one hundred one million, one hundred one thousand, one".