220102120 has 48 divisors (see below), whose sum is σ = 576088740. Its totient is φ = 75462912.

The previous prime is 220102117. The next prime is 220102133. The reversal of 220102120 is 21201022.

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 2775556 = 14742^2 + 1666^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220102097 and 220102106.

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 11 ways as a sum of consecutive naturals, for example, 54189 + ... + 58108.

Almost surely, 2^220102120 is an apocalyptic number.

220102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102120 is an abundant number, since it is smaller than the sum of its proper divisors (355986620).

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

220102120 is a wasteful number, since it uses less digits than its factorization.

220102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112322 (or 112311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 220102120 is about 14835.8390392994. The cubic root of 220102120 is about 603.7744651572.

Adding to 220102120 its reverse (21201022), we get a palindrome (241303142).

The spelling of 220102120 in words is "two hundred twenty million, one hundred two thousand, one hundred twenty".