112221112010100 has 288 divisors, whose sum is σ = 342248678432640. Its totient is φ = 28359960330240.

The previous prime is 112221112010053. The next prime is 112221112010159. The reversal of 112221112010100 is 1010211122211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112221112010100.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 65341572 + ... + 67037028.

It is an arithmetic number, because the mean of its divisors is an integer number (1188363466780).

Almost surely, 2^{112221112010100} is an apocalyptic number.

112221112010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171124339216320).

112221112010100 is an abundant number, since it is smaller than the sum of its proper divisors (230027566422540).

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

112221112010100 is a wasteful number, since it uses less digits than its factorization.

112221112010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695667 (or 1695660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112221112010100 its reverse (1010211122211), we get a palindrome (113231323132311).

The spelling of 112221112010100 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred twelve million, ten thousand, one hundred".