10111102111101 has 8 divisors (see below), whose sum is σ = 13605152688160. Its totient is φ = 6678893137392.

The previous prime is 10111102111091. The next prime is 10111102111151. The reversal of 10111102111101 is 10111120111101.

10111102111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10111102111101 - 2¹⁰ = 10111102110077 is a prime.

It is a super-2 number, since 2×10111102111101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111102111151) 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, 15460400455 + ... + 15460401108.

It is an arithmetic number, because the mean of its divisors is an integer number (1700644086020).

Almost surely, 2^{10111102111101} is an apocalyptic number.

It is an amenable number.

10111102111101 is a deficient number, since it is larger than the sum of its proper divisors (3494050577059).

10111102111101 is a wasteful number, since it uses less digits than its factorization.

10111102111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30920801675.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10111102111101 its reverse (10111120111101), we get a palindrome (20222222222202).

The spelling of 10111102111101 in words is "ten trillion, one hundred eleven billion, one hundred two million, one hundred eleven thousand, one hundred one".