10011001101101 has 64 divisors (see below), whose sum is σ = 13522000343040. Its totient is φ = 7157640522240.

The previous prime is 10011001101077. The next prime is 10011001101107. The reversal of 10011001101101 is 10110110011001.

10011001101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011001101101 - 2²⁶ = 10010933992237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001101107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112434866 + ... + 112523868.

It is an arithmetic number, because the mean of its divisors is an integer number (211281255360).

Almost surely, 2^{10011001101101} is an apocalyptic number.

10011001101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011001101101 is a deficient number, since it is larger than the sum of its proper divisors (3510999241939).

10011001101101 is a wasteful number, since it uses less digits than its factorization.

10011001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89706.

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

Adding to 10011001101101 its reverse (10110110011001), we get a palindrome (20121111112102).

It can be divided in two parts, 10011001 and 101101, that multiplied together give a palindrome (1012122212101).

The spelling of 10011001101101 in words is "ten trillion, eleven billion, one million, one hundred one thousand, one hundred one".