112000221222021 has 96 divisors (see below), whose sum is σ = 181577422301184. Its totient is φ = 65947992912000.

The previous prime is 112000221221981. The next prime is 112000221222059. The reversal of 112000221222021 is 120222122000211.

It is a happy number.

112000221222021 is a `hidden beast` number, since 1 + 1 + 200 + 0 + 221 + 2 + 220 + 21 = 666.

It is not a de Polignac number, because 112000221222021 - 2²³ = 112000212833413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112000221221985 and 112000221222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000221222091) 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 95 ways as a sum of consecutive naturals, for example, 2722197576 + ... + 2722238718.

It is an arithmetic number, because the mean of its divisors is an integer number (1891431482304).

Almost surely, 2^{112000221222021} is an apocalyptic number.

112000221222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112000221222021 is a deficient number, since it is larger than the sum of its proper divisors (69577201079163).

112000221222021 is a wasteful number, since it uses less digits than its factorization.

112000221222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46735 (or 46732 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112000221222021 its reverse (120222122000211), we get a palindrome (232222343222232).

The spelling of 112000221222021 in words is "one hundred twelve trillion, two hundred twenty-one million, two hundred twenty-two thousand, twenty-one".