202021222222120 has 128 divisors (see below), whose sum is σ = 523462893465600. Its totient is φ = 68733814406400.

The previous prime is 202021222222109. The next prime is 202021222222123. The reversal of 202021222222120 is 21222222120202.

It is a junction number, because it is equal to n+sod(n) for n = 202021222222091 and 202021222222100.

It is not an unprimeable number, because it can be changed into a prime (202021222222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384561121 + ... + 2384645839.

It is an arithmetic number, because the mean of its divisors is an integer number (4089553855200).

Almost surely, 2^{202021222222120} is an apocalyptic number.

202021222222120 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 202021222222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261731446732800).

202021222222120 is an abundant number, since it is smaller than the sum of its proper divisors (321441671243480).

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

202021222222120 is a wasteful number, since it uses less digits than its factorization.

202021222222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149879 (or 149875 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 202021222222120 its reverse (21222222120202), we get a palindrome (223243444342322).

The spelling of 202021222222120 in words is "two hundred two trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".