112210220101221 has 64 divisors (see below), whose sum is σ = 190908352281600. Its totient is φ = 64422272376000.

The previous prime is 112210220101207. The next prime is 112210220101223. The reversal of 112210220101221 is 122101022012211.

112210220101221 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 220 + 10 + 1 + 221 = 666.

It is not a de Polignac number, because 112210220101221 - 2⁹ = 112210220100709 is a prime.

It is a super-3 number, since 3×112210220101221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112210220101194 and 112210220101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210220101223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78274746 + ... + 79695396.

It is an arithmetic number, because the mean of its divisors is an integer number (2982943004400).

Almost surely, 2^{112210220101221} is an apocalyptic number.

112210220101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112210220101221 is a deficient number, since it is larger than the sum of its proper divisors (78698132180379).

112210220101221 is a wasteful number, since it uses less digits than its factorization.

112210220101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434687 (or 1434681 counting only the distinct ones).

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

Adding to 112210220101221 its reverse (122101022012211), we get a palindrome (234311242113432).

The spelling of 112210220101221 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty million, one hundred one thousand, two hundred twenty-one".