111111312101 has 16 divisors (see below), whose sum is σ = 113538276720. Its totient is φ = 108711820800.

The previous prime is 111111312089. The next prime is 111111312113. The reversal of 111111312101 is 101213111111.

It is an interprime number because it is at equal distance from previous prime (111111312089) and next prime (111111312113).

It can be written as a sum of positive squares in 8 ways, for example, as 4606336900 + 106504975201 = 67870^2 + 326351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111111312101 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 (111111512101) 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, 25499615 + ... + 25503971.

It is an arithmetic number, because the mean of its divisors is an integer number (7096142295).

Almost surely, 2^111111312101 is an apocalyptic number.

It is an amenable number.

111111312101 is a deficient number, since it is larger than the sum of its proper divisors (2426964619).

111111312101 is a wasteful number, since it uses less digits than its factorization.

111111312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 111111312101 its reverse (101213111111), we get a palindrome (212324423212).

The spelling of 111111312101 in words is "one hundred eleven billion, one hundred eleven million, three hundred twelve thousand, one hundred one".