10111101111101 has 16 divisors (see below), whose sum is σ = 10915644948480. Its totient is φ = 9338376693360.

The previous prime is 10111101111073. The next prime is 10111101111103. The reversal of 10111101111101 is 10111110111101.

It is a cyclic number.

It is not a de Polignac number, because 10111101111101 - 2¹⁸ = 10111100848957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111101111103) 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, 15689861 + ... + 16321578.

It is an arithmetic number, because the mean of its divisors is an integer number (682227809280).

Almost surely, 2^{10111101111101} is an apocalyptic number.

It is an amenable number.

10111101111101 is a deficient number, since it is larger than the sum of its proper divisors (804543837379).

10111101111101 is a wasteful number, since it uses less digits than its factorization.

10111101111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32011936.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10111101111101 its reverse (10111110111101), we get a palindrome (20222211222202).

Subtracting 10111101111101 from its reverse (10111110111101), we obtain a square (9000000 = 3000²).

The spelling of 10111101111101 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred one".