220102121222120 has 256 divisors, whose sum is σ = 540422494617600. Its totient is φ = 80429241784320.

The previous prime is 220102121222063. The next prime is 220102121222209. The reversal of 220102121222120 is 21222121201022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220102121222092 and 220102121222101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5391600029 + ... + 5391640851.

It is an arithmetic number, because the mean of its divisors is an integer number (2111025369600).

Almost surely, 2^{220102121222120} is an apocalyptic number.

220102121222120 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 220102121222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270211247308800).

220102121222120 is an abundant number, since it is smaller than the sum of its proper divisors (320320373395480).

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

220102121222120 is a wasteful number, since it uses less digits than its factorization.

220102121222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43360 (or 43356 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220102121222120 its reverse (21222121201022), we get a palindrome (241324242423142).

The spelling of 220102121222120 in words is "two hundred twenty trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".