202222010200000 has 504 divisors, whose sum is σ = 588818768186880. Its totient is φ = 68696812800000.

The previous prime is 202222010199991. The next prime is 202222010200043. The reversal of 202222010200000 is 2010222202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068105345 + ... + 1068294655.

It is an arithmetic number, because the mean of its divisors is an integer number (1168291206720).

Almost surely, 2^{202222010200000} is an apocalyptic number.

202222010200000 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 202222010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294409384093440).

202222010200000 is an abundant number, since it is smaller than the sum of its proper divisors (386596757986880).

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

202222010200000 is an equidigital number, since it uses as much as digits as its factorization.

202222010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189471 (or 189434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202222010200000 its reverse (2010222202), we get a palindrome (202224020422202).

The spelling of 202222010200000 in words is "two hundred two trillion, two hundred twenty-two billion, ten million, two hundred thousand".