112001221102221 has 48 divisors (see below), whose sum is σ = 177026812784640. Its totient is φ = 67671836100000.

The previous prime is 112001221102201. The next prime is 112001221102247. The reversal of 112001221102221 is 122201122100211.

112001221102221 is a `hidden beast` number, since 1 + 120 + 0 + 1 + 221 + 102 + 221 = 666.

It is not a de Polignac number, because 112001221102221 - 2⁵ = 112001221102189 is a prime.

It is a super-2 number, since 2×112001221102221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112001221102194 and 112001221102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001221102201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155091540 + ... + 1155188498.

It is an arithmetic number, because the mean of its divisors is an integer number (3688058599680).

Almost surely, 2^{112001221102221} is an apocalyptic number.

112001221102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112001221102221 is a deficient number, since it is larger than the sum of its proper divisors (65025591682419).

112001221102221 is a wasteful number, since it uses less digits than its factorization.

112001221102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132558 (or 132555 counting only the distinct ones).

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

Adding to 112001221102221 its reverse (122201122100211), we get a palindrome (234202343202432).

The spelling of 112001221102221 in words is "one hundred twelve trillion, one billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".