112121220221001 has 20 divisors (see below), whose sum is σ = 177342060743892. Its totient is φ = 70350569549568.

The previous prime is 112121220220979. The next prime is 112121220221011. The reversal of 112121220221001 is 100122022121211.

112121220221001 is a `hidden beast` number, since 11 + 212 + 1 + 220 + 221 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97792716560400 + 14328503660601 = 9889020^2 + 3785301^2 .

It is not a de Polignac number, because 112121220221001 - 2¹³ = 112121220212809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112121220221011) 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 19 ways as a sum of consecutive naturals, for example, 40712133780 + ... + 40712136533.

Almost surely, 2^{112121220221001} is an apocalyptic number.

It is an amenable number.

112121220221001 is a deficient number, since it is larger than the sum of its proper divisors (65220840522891).

112121220221001 is an equidigital number, since it uses as much as digits as its factorization.

112121220221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81424270342 (or 81424270333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112121220221001 its reverse (100122022121211), we get a palindrome (212243242342212).

The spelling of 112121220221001 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, one".