10011120111101 has 16 divisors (see below), whose sum is σ = 10996469984640. Its totient is φ = 9071635668480.

The previous prime is 10011120111089. The next prime is 10011120111119. The reversal of 10011120111101 is 10111102111001.

It is a happy number.

10011120111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10011120111101 - 2³⁰ = 10010046369277 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011120111121) 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, 18720041 + ... + 19247393.

It is an arithmetic number, because the mean of its divisors is an integer number (687279374040).

Almost surely, 2^{10011120111101} is an apocalyptic number.

It is an amenable number.

10011120111101 is a deficient number, since it is larger than the sum of its proper divisors (985349873539).

10011120111101 is a wasteful number, since it uses less digits than its factorization.

10011120111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570836.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10011120111101 its reverse (10111102111001), we get a palindrome (20122222222102).

The spelling of 10011120111101 in words is "ten trillion, eleven billion, one hundred twenty million, one hundred eleven thousand, one hundred one".