202220201022120 has 48 divisors (see below), whose sum is σ = 657215653323060. Its totient is φ = 53925386939136.

The previous prime is 202220201022061. The next prime is 202220201022127. The reversal of 202220201022120 is 21220102022202.

202220201022120 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 201 + 0 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194328562671684 + 7891638350436 = 13940178^2 + 2809206^2 .

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 = 202220201022093 and 202220201022102.

It is not an unprimeable number, because it can be changed into a prime (202220201022127) 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, 280861389949 + ... + 280861390668.

Almost surely, 2^{202220201022120} is an apocalyptic number.

202220201022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220201022120 is an abundant number, since it is smaller than the sum of its proper divisors (454995452300940).

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

202220201022120 is a wasteful number, since it uses less digits than its factorization.

202220201022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561722780634 (or 561722780627 counting only the distinct ones).

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

Adding to 202220201022120 its reverse (21220102022202), we get a palindrome (223440303044322).

The spelling of 202220201022120 in words is "two hundred two trillion, two hundred twenty billion, two hundred one million, twenty-two thousand, one hundred twenty".