112121221000100 has 72 divisors (see below), whose sum is σ = 262024408822848. Its totient is φ = 41397697756800.

The previous prime is 112121221000067. The next prime is 112121221000183. The reversal of 112121221000100 is 1000122121211.

112121221000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59927795 + ... + 61770405.

Almost surely, 2^{112121221000100} is an apocalyptic number.

112121221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121221000100 is an abundant number, since it is smaller than the sum of its proper divisors (149903187822748).

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

112121221000100 is a wasteful number, since it uses less digits than its factorization.

112121221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889445 (or 1889438 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121221000100 its reverse (1000122121211), we get a palindrome (113121343121311).

The spelling of 112121221000100 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred", and thus it is an aban number.