10111122111101 has 16 divisors (see below), whose sum is σ = 11288134287360. Its totient is φ = 8977882996080.

The previous prime is 10111122111071. The next prime is 10111122111131.

10111122111101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10111122111071) and next prime (10111122111131).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111122111101 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 (10111122111131) 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, 19827581 + ... + 20331138.

It is an arithmetic number, because the mean of its divisors is an integer number (705508392960).

Almost surely, 2^{10111122111101} is an apocalyptic number.

10111122111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111122111101 is a deficient number, since it is larger than the sum of its proper divisors (1177012176259).

10111122111101 is a wasteful number, since it uses less digits than its factorization.

10111122111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40159264.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1011112 and 2111101, that multiplied together give a palindrome (2134559554312).

The spelling of 10111122111101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred one".