221022200002001 has 16 divisors (see below), whose sum is σ = 226348537654800. Its totient is φ = 215738807601408.

The previous prime is 221022200001989. The next prime is 221022200002031. The reversal of 221022200002001 is 100200002220122.

It can be written as a sum of positive squares in 8 ways, for example, as 37085676219601 + 183936523782400 = 6089801^2 + 13562320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221022200002001 is a prime.

It is a super-3 number, since 3×221022200002001³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221022200002031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183882995 + ... + 185081063.

It is an arithmetic number, because the mean of its divisors is an integer number (14146783603425).

Almost surely, 2^{221022200002001} is an apocalyptic number.

It is an amenable number.

221022200002001 is a deficient number, since it is larger than the sum of its proper divisors (5326337652799).

221022200002001 is a wasteful number, since it uses less digits than its factorization.

221022200002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215988.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221022200002001 its reverse (100200002220122), we get a palindrome (321222202222123).

The spelling of 221022200002001 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred million, two thousand, one".