112011102101 has 4 divisors (see below), whose sum is σ = 113269653900. Its totient is φ = 110752550304.

The previous prime is 112011102079. The next prime is 112011102109. The reversal of 112011102101 is 101201110211.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101201110211 = 17 ⋅5953006483.

It can be written as a sum of positive squares in 2 ways, for example, as 23282182225 + 88728919876 = 152585^2 + 297874^2 .

It is a cyclic number.

It is not a de Polignac number, because 112011102101 - 2¹⁸ = 112010839957 is a prime.

It is a super-3 number, since 3×112011102101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112011102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629275766 + ... + 629275943.

It is an arithmetic number, because the mean of its divisors is an integer number (28317413475).

Almost surely, 2^112011102101 is an apocalyptic number.

It is an amenable number.

112011102101 is a deficient number, since it is larger than the sum of its proper divisors (1258551799).

112011102101 is an equidigital number, since it uses as much as digits as its factorization.

112011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258551798.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 112011102101 its reverse (101201110211), we get a palindrome (213212212312).

It can be divided in two parts, 11201110210 and 1, that added together give a palindrome (11201110211).

The spelling of 112011102101 in words is "one hundred twelve billion, eleven million, one hundred two thousand, one hundred one".