112241402100 has 54 divisors (see below), whose sum is σ = 351814442070. Its totient is φ = 29931040320.

The previous prime is 112241402087. The next prime is 112241402101. The reversal of 112241402100 is 1204142211.

112241402100 is a `hidden beast` number, since 1 + 12 + 241 + 402 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6240368016 + 106001034084 = 78996^2 + 325578^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112241402101) 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 17 ways as a sum of consecutive naturals, for example, 62355435 + ... + 62357234.

Almost surely, 2^112241402100 is an apocalyptic number.

112241402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112241402100 is an abundant number, since it is smaller than the sum of its proper divisors (239573039970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112241402100 is a wasteful number, since it uses less digits than its factorization.

112241402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124712689 (or 124712679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112241402100 its reverse (1204142211), we get a palindrome (113445544311).

The spelling of 112241402100 in words is "one hundred twelve billion, two hundred forty-one million, four hundred two thousand, one hundred".