202122221101120 has 56 divisors (see below), whose sum is σ = 485719167879000. Its totient is φ = 80107155505152.

The previous prime is 202122221101109. The next prime is 202122221101127. The reversal of 202122221101120 is 21101122221202.

202122221101120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58292858520576 + 143829362580544 = 7634976^2 + 11992888^2 .

It is not an unprimeable number, because it can be changed into a prime (202122221101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2897359345 + ... + 2897429104.

Almost surely, 2^{202122221101120} is an apocalyptic number.

202122221101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122221101120 is an abundant number, since it is smaller than the sum of its proper divisors (283596946777880).

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

202122221101120 is a wasteful number, since it uses less digits than its factorization.

202122221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794788575 (or 5794788565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 202122221101120 its reverse (21101122221202), we get a palindrome (223223343322322).

The spelling of 202122221101120 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".