202221202102020 has 36 divisors (see below), whose sum is σ = 613404313043340. Its totient is φ = 53925653893824.

The previous prime is 202221202101977. The next prime is 202221202102021. The reversal of 202221202102020 is 20201202122202.

202221202102020 is a `hidden beast` number, since 20 + 22 + 212 + 0 + 210 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58362143598144 + 143859058503876 = 7639512^2 + 11994126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 202221202101984 and 202221202102002.

It is not an unprimeable number, because it can be changed into a prime (202221202102021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561725561215 + ... + 561725561574.

Almost surely, 2^{202221202102020} is an apocalyptic number.

202221202102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221202102020 is an abundant number, since it is smaller than the sum of its proper divisors (411183110941320).

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

202221202102020 is a wasteful number, since it uses less digits than its factorization.

202221202102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123451122804 (or 1123451122799 counting only the distinct ones).

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

Adding to 202221202102020 its reverse (20201202122202), we get a palindrome (222422404224222).

The spelling of 202221202102020 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred two million, one hundred two thousand, twenty".