202221202010220 has 144 divisors (see below), whose sum is σ = 617032082564352. Its totient is φ = 53606812008960.

The previous prime is 202221202010137. The next prime is 202221202010263. The reversal of 202221202010220 is 22010202122202.

202221202010220 is a `hidden beast` number, since 2 + 0 + 2 + 221 + 20 + 201 + 0 + 220 = 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 = 202221202010193 and 202221202010202.

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, 235706430 + ... + 236562810.

It is an arithmetic number, because the mean of its divisors is an integer number (4284945017808).

Almost surely, 2^{202221202010220} is an apocalyptic number.

202221202010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221202010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308516041282176).

202221202010220 is an abundant number, since it is smaller than the sum of its proper divisors (414810880554132).

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

202221202010220 is a wasteful number, since it uses less digits than its factorization.

202221202010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864152 (or 864147 counting only the distinct ones).

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

Adding to 202221202010220 its reverse (22010202122202), we get a palindrome (224231404132422).

The spelling of 202221202010220 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred two million, ten thousand, two hundred twenty".