221001002002120 has 16 divisors (see below), whose sum is σ = 497252254504860. Its totient is φ = 88400400800832.

The previous prime is 221001002002097. The next prime is 221001002002139. The reversal of 221001002002120 is 21200200100122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 208341452985444 + 12659549016676 = 14434038^2 + 3558026^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221001002002120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2762512524987 + ... + 2762512525066.

Almost surely, 2^{221001002002120} is an apocalyptic number.

221001002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001002002120 is an abundant number, since it is smaller than the sum of its proper divisors (276251252502740).

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

221001002002120 is a wasteful number, since it uses less digits than its factorization.

221001002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525025050064 (or 5525025050060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221001002002120 its reverse (21200200100122), we get a palindrome (242201202102242).

The spelling of 221001002002120 in words is "two hundred twenty-one trillion, one billion, two million, two thousand, one hundred twenty".