112001121002221 has 16 divisors (see below), whose sum is σ = 123508855225728. Its totient is φ = 100716252552000.

The previous prime is 112001121002219. The next prime is 112001121002257. The reversal of 112001121002221 is 122200121100211.

It is a cyclic number.

It is not a de Polignac number, because 112001121002221 - 2¹ = 112001121002219 is a prime.

It is a super-2 number, since 2×112001121002221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112001121002195 and 112001121002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001121002261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46237206 + ... + 48599191.

It is an arithmetic number, because the mean of its divisors is an integer number (7719303451608).

Almost surely, 2^{112001121002221} is an apocalyptic number.

112001121002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112001121002221 is a deficient number, since it is larger than the sum of its proper divisors (11507734223507).

112001121002221 is a wasteful number, since it uses less digits than its factorization.

112001121002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94837572.

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

Adding to 112001121002221 its reverse (122200121100211), we get a palindrome (234201242102432).

The spelling of 112001121002221 in words is "one hundred twelve trillion, one billion, one hundred twenty-one million, two thousand, two hundred twenty-one".