221022102210221 has 48 divisors (see below), whose sum is σ = 258183434708304. Its totient is φ = 188006369918976.

The previous prime is 221022102210211. The next prime is 221022102210241. The reversal of 221022102210221 is 122012201220122.

It can be written as a sum of positive squares in 24 ways, for example, as 43488089702500 + 177534012507721 = 6594550^2 + 13324189^2 .

It is a de Polignac number, because none of the positive numbers 2^k-221022102210221 is a prime.

It is a Duffinian number.

221022102210221 is a modest number, since divided by 22102210221 gives 221 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 221022102210193 and 221022102210202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022102210211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34632581 + ... + 40514933.

It is an arithmetic number, because the mean of its divisors is an integer number (5378821556423).

Almost surely, 2^{221022102210221} is an apocalyptic number.

It is an amenable number.

221022102210221 is a deficient number, since it is larger than the sum of its proper divisors (37161332498083).

221022102210221 is a wasteful number, since it uses less digits than its factorization.

221022102210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882610 (or 5882593 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221022102210221 its reverse (122012201220122), we get a palindrome (343034303430343).

Subtracting from 221022102210221 its reverse (122012201220122), we obtain a palindrome (99009900990099).

The spelling of 221022102210221 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred ten thousand, two hundred twenty-one".