10111121111101 has 4 divisors (see below), whose sum is σ = 10112519807100. Its totient is φ = 10109722415104.

The previous prime is 10111121111041. The next prime is 10111121111149. The reversal of 10111121111101 is 10111112111101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6960758805625 + 3150362305476 = 2638325^2 + 1774926^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111121111101 - 2¹⁹ = 10111120586813 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 (10111121111801) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 699337156 + ... + 699351613.

It is an arithmetic number, because the mean of its divisors is an integer number (2528129951775).

Almost surely, 2^{10111121111101} is an apocalyptic number.

It is an amenable number.

10111121111101 is a deficient number, since it is larger than the sum of its proper divisors (1398695999).

10111121111101 is an equidigital number, since it uses as much as digits as its factorization.

10111121111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398695998.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 10111121111101 its reverse (10111112111101), we get a palindrome (20222233222202).

Subtracting from 10111121111101 its reverse (10111112111101), we obtain a square (9000000 = 3000²).

The spelling of 10111121111101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred one".