112101102405 has 24 divisors (see below), whose sum is σ = 196232432760. Its totient is φ = 59195299200.

The previous prime is 112101102403. The next prime is 112101102427. The reversal of 112101102405 is 504201101211.

It can be written as a sum of positive squares in 4 ways, for example, as 6021915201 + 106079187204 = 77601^2 + 325698^2 .

It is not a de Polignac number, because 112101102405 - 2¹ = 112101102403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101102403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12327810 + ... + 12336899.

It is an arithmetic number, because the mean of its divisors is an integer number (8176351365).

Almost surely, 2^112101102405 is an apocalyptic number.

112101102405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112101102405 is a deficient number, since it is larger than the sum of its proper divisors (84131330355).

112101102405 is a wasteful number, since it uses less digits than its factorization.

112101102405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664821 (or 24664818 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 112101102405 its reverse (504201101211), we get a palindrome (616302203616).

The spelling of 112101102405 in words is "one hundred twelve billion, one hundred one million, one hundred two thousand, four hundred five".