112221221010100 has 36 divisors (see below), whose sum is σ = 243825595624044. Its totient is φ = 44832166554880.

The previous prime is 112221221010083. The next prime is 112221221010103. The reversal of 112221221010100 is 1010122122211.

It can be written as a sum of positive squares in 6 ways, for example, as 1219867234576 + 111001353775524 = 1104476^2 + 10535718^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112221221010103) 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 11 ways as a sum of consecutive naturals, for example, 703943017 + ... + 704102416.

It is an arithmetic number, because the mean of its divisors is an integer number (6772933211779).

Almost surely, 2^{112221221010100} is an apocalyptic number.

112221221010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112221221010100 is an abundant number, since it is smaller than the sum of its proper divisors (131604374613944).

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

112221221010100 is a wasteful number, since it uses less digits than its factorization.

112221221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408046244 (or 1408046237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112221221010100 its reverse (1010122122211), we get a palindrome (113231343132311).

The spelling of 112221221010100 in words is "one hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, ten thousand, one hundred".