2120102220 has 96 divisors (see below), whose sum is σ = 6128640000. Its totient is φ = 547202304.

The previous prime is 2120102209. The next prime is 2120102221. The reversal of 2120102220 is 222010212.

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 = 2120102196 and 2120102205.

It is not an unprimeable number, because it can be changed into a prime (2120102221) by changing a digit.

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, 439381 + ... + 444179.

It is an arithmetic number, because the mean of its divisors is an integer number (63840000).

Almost surely, 2^2120102220 is an apocalyptic number.

2120102220 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 2120102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320000).

2120102220 is an abundant number, since it is smaller than the sum of its proper divisors (4008537780).

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

2120102220 is a wasteful number, since it uses less digits than its factorization.

2120102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120102220 is about 46044.5677577714. The cubic root of 2120102220 is about 1284.6523044008.

Adding to 2120102220 its reverse (222010212), we get a palindrome (2342112432).

The spelling of 2120102220 in words is "two billion, one hundred twenty million, one hundred two thousand, two hundred twenty".