10001101111101 has 16 divisors (see below), whose sum is σ = 14816506024320. Its totient is φ = 6667373770560.

The previous prime is 10001101111061. The next prime is 10001101111109. The reversal of 10001101111101 is 10111110110001.

It is a de Polignac number, because none of the positive numbers 2^k-10001101111101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101111109) 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 15 ways as a sum of consecutive naturals, for example, 7839381 + ... + 9025413.

It is an arithmetic number, because the mean of its divisors is an integer number (926031626520).

Almost surely, 2^{10001101111101} is an apocalyptic number.

It is an amenable number.

10001101111101 is a deficient number, since it is larger than the sum of its proper divisors (4815404913219).

10001101111101 is a wasteful number, since it uses less digits than its factorization.

10001101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498353 (or 1498347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10001101111101 its reverse (10111110110001), we get a palindrome (20112211221102).

It can be divided in two parts, 10001 and 101111101, that multiplied together give a palindrome (1011212121101).

The spelling of 10001101111101 in words is "ten trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred one".