221001221022120 has 192 divisors, whose sum is σ = 895485467111040. Its totient is φ = 45922331635200.

The previous prime is 221001221022103. The next prime is 221001221022209. The reversal of 221001221022120 is 21220122100122.

It is a happy number.

221001221022120 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 2 + 210 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221001221022093 and 221001221022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3986285791 + ... + 3986341230.

It is an arithmetic number, because the mean of its divisors is an integer number (4663986807870).

Almost surely, 2^{221001221022120} is an apocalyptic number.

221001221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001221022120 is an abundant number, since it is smaller than the sum of its proper divisors (674484246088920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221001221022120 is a wasteful number, since it uses less digits than its factorization.

221001221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972627056 (or 7972627049 counting only the distinct ones).

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

Adding to 221001221022120 its reverse (21220122100122), we get a palindrome (242221343122242).

The spelling of 221001221022120 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".