112002024100 has 36 divisors (see below), whose sum is σ = 243061982100. Its totient is φ = 44797567360.

The previous prime is 112002024097. The next prime is 112002024131. The reversal of 112002024100 is 1420200211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2292685924 + 109709338176 = 47882^2 + 331224^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1735206 + ... + 1798594.

It is an arithmetic number, because the mean of its divisors is an integer number (6751721725).

Almost surely, 2^112002024100 is an apocalyptic number.

112002024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002024100 is an abundant number, since it is smaller than the sum of its proper divisors (131059958000).

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

112002024100 is a wasteful number, since it uses less digits than its factorization.

112002024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81072 (or 81065 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112002024100 its reverse (1420200211), we get a palindrome (113422224311).

The spelling of 112002024100 in words is "one hundred twelve billion, two million, twenty-four thousand, one hundred".