10001111111101 has 8 divisors (see below), whose sum is σ = 10914082179264. Its totient is φ = 9088769901120.

The previous prime is 10001111111083. The next prime is 10001111111143. The reversal of 10001111111101 is 10111111110001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001111111101 - 2¹¹ = 10001111109053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001111111161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157431340 + ... + 157494853.

It is an arithmetic number, because the mean of its divisors is an integer number (1364260272408).

Almost surely, 2^{10001111111101} is an apocalyptic number.

10001111111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001111111101 is a deficient number, since it is larger than the sum of its proper divisors (912971068163).

10001111111101 is a wasteful number, since it uses less digits than its factorization.

10001111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314929091.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10001111111101 its reverse (10111111110001), we get a palindrome (20112222221102).

The spelling of 10001111111101 in words is "ten trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred one".