220102101120 has 256 divisors, whose sum is σ = 768997877760. Its totient is φ = 53104128000.

The previous prime is 220102101101. The next prime is 220102101137. The reversal of 220102101120 is 21101201022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220102101096 and 220102101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4431625 + ... + 4481015.

It is an arithmetic number, because the mean of its divisors is an integer number (3003897960).

Almost surely, 2^220102101120 is an apocalyptic number.

220102101120 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 220102101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384498938880).

220102101120 is an abundant number, since it is smaller than the sum of its proper divisors (548895776640).

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

220102101120 is a wasteful number, since it uses less digits than its factorization.

220102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49635 (or 49623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220102101120 its reverse (21101201022), we get a palindrome (241203302142).

The spelling of 220102101120 in words is "two hundred twenty billion, one hundred two million, one hundred one thousand, one hundred twenty".