221020200022221 has 24 divisors (see below), whose sum is σ = 321408784639800. Its totient is φ = 146351174860800.

The previous prime is 221020200022103. The next prime is 221020200022229. The reversal of 221020200022221 is 122220002020122.

221020200022221 is a `hidden beast` number, since 221 + 0 + 2 + 0 + 200 + 0 + 22 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31269960722025 + 189750239300196 = 5591955^2 + 13774986^2 .

It is not a de Polignac number, because 221020200022221 - 2¹¹ = 221020200020173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221020200022194 and 221020200022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020200022229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25515661 + ... + 33061901.

It is an arithmetic number, because the mean of its divisors is an integer number (13392032693325).

Almost surely, 2^{221020200022221} is an apocalyptic number.

It is an amenable number.

221020200022221 is a deficient number, since it is larger than the sum of its proper divisors (100388584617579).

221020200022221 is a wasteful number, since it uses less digits than its factorization.

221020200022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568237 (or 7568234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221020200022221 its reverse (122220002020122), we get a palindrome (343240202042343).

The spelling of 221020200022221 in words is "two hundred twenty-one trillion, twenty billion, two hundred million, twenty-two thousand, two hundred twenty-one".