202202101220220 has 192 divisors, whose sum is σ = 631145792471040. Its totient is φ = 53742944226816.

The previous prime is 202202101220191. The next prime is 202202101220279. The reversal of 202202101220220 is 22022101202202.

202202101220220 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 1 + 0 + 1 + 220 + 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 = 202202101220193 and 202202101220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1873870789 + ... + 1873978691.

It is an arithmetic number, because the mean of its divisors is an integer number (3287217669120).

Almost surely, 2^{202202101220220} is an apocalyptic number.

202202101220220 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 202202101220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315572896235520).

202202101220220 is an abundant number, since it is smaller than the sum of its proper divisors (428943691250820).

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

202202101220220 is a wasteful number, since it uses less digits than its factorization.

202202101220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119321 (or 119313 counting only the distinct ones).

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

Adding to 202202101220220 its reverse (22022101202202), we get a palindrome (224224202422422).

The spelling of 202202101220220 in words is "two hundred two trillion, two hundred two billion, one hundred one million, two hundred twenty thousand, two hundred twenty".