202202010202020 has 96 divisors (see below), whose sum is σ = 571483538250240. Its totient is φ = 53414282718720.

The previous prime is 202202010202009. The next prime is 202202010202081. The reversal of 202202010202020 is 20202010202202.

It is a super-2 number, since 2×202202010202020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26875989 + ... + 33566691.

It is an arithmetic number, because the mean of its divisors is an integer number (5952953523440).

Almost surely, 2^{202202010202020} is an apocalyptic number.

202202010202020 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 202202010202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285741769125120).

202202010202020 is an abundant number, since it is smaller than the sum of its proper divisors (369281528048220).

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

202202010202020 is a wasteful number, since it uses less digits than its factorization.

202202010202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695445 (or 6695443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202202010202020 its reverse (20202010202202), we get a palindrome (222404020404222).

It can be divided in two parts, 2022020 and 10202020, that added together give a triangular number (12224040 = T₄₉₄₄).

The spelling of 202202010202020 in words is "two hundred two trillion, two hundred two billion, ten million, two hundred two thousand, twenty".