112001221000100 has 18 divisors (see below), whose sum is σ = 243042649570434. Its totient is φ = 44800488400000.

The previous prime is 112001221000087. The next prime is 112001221000103. The reversal of 112001221000100 is 1000122100211.

It can be written as a sum of positive squares in 3 ways, for example, as 38803032307264 + 73198188692836 = 6229208^2 + 8555594^2 .

It is not an unprimeable number, because it can be changed into a prime (112001221000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560006104901 + ... + 560006105100.

Almost surely, 2^{112001221000100} is an apocalyptic number.

112001221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001221000100 is an abundant number, since it is smaller than the sum of its proper divisors (131041428570334).

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

112001221000100 is a wasteful number, since it uses less digits than its factorization.

112001221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120012210015 (or 1120012210008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112001221000100 its reverse (1000122100211), we get a palindrome (113001343100311).

The spelling of 112001221000100 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, one hundred", and thus it is an aban number.