112101201202221 has 224 divisors, whose sum is σ = 222119568285696. Its totient is φ = 54748249920000.

The previous prime is 112101201202217. The next prime is 112101201202223. The reversal of 112101201202221 is 122202102101211.

112101201202221 is a `hidden beast` number, since 1 + 121 + 0 + 120 + 1 + 202 + 221 = 666.

It is not a de Polignac number, because 112101201202221 - 2² = 112101201202217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101201202194 and 112101201202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101201202223) 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 223 ways as a sum of consecutive naturals, for example, 869267296 + ... + 869396246.

Almost surely, 2^{112101201202221} is an apocalyptic number.

112101201202221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101201202221 is a deficient number, since it is larger than the sum of its proper divisors (110018367083475).

112101201202221 is a wasteful number, since it uses less digits than its factorization.

112101201202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129915 (or 129900 counting only the distinct ones).

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

Adding to 112101201202221 its reverse (122202102101211), we get a palindrome (234303303303432).

The spelling of 112101201202221 in words is "one hundred twelve trillion, one hundred one billion, two hundred one million, two hundred two thousand, two hundred twenty-one".