202022022202000 has 1280 divisors, whose sum is σ = 662353106688000. Its totient is φ = 57552629760000.

The previous prime is 202022022201997. The next prime is 202022022202051. The reversal of 202022022202000 is 202220220202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 116037921130 + ... + 116037922870.

It is an arithmetic number, because the mean of its divisors is an integer number (517463364600).

Almost surely, 2^{202022022202000} is an apocalyptic number.

202022022202000 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 202022022202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331176553344000).

202022022202000 is an abundant number, since it is smaller than the sum of its proper divisors (460331084486000).

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

202022022202000 is a wasteful number, since it uses less digits than its factorization.

202022022202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 202022022202000 its reverse (202220220202), we get a palindrome (202224242422202).

It can be divided in two parts, 20202 and 2022202000, that added together give a palindrome (2022222202).

The spelling of 202022022202000 in words is "two hundred two trillion, twenty-two billion, twenty-two million, two hundred two thousand".