1020210120 has 256 divisors, whose sum is σ = 3632428800. Its totient is φ = 253808640.

The previous prime is 1020210119. The next prime is 1020210151. The reversal of 1020210120 is 210120201.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 63 ways as a sum of consecutive naturals, for example, 3323007 + ... + 3323313.

It is an arithmetic number, because the mean of its divisors is an integer number (14189175).

Almost surely, 2^1020210120 is an apocalyptic number.

1020210120 is a gapful number since it is divisible by the number (10) 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 1020210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

1020210120 is an abundant number, since it is smaller than the sum of its proper divisors (2612218680).

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

1020210120 is a wasteful number, since it uses less digits than its factorization.

1020210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020210120 is about 31940.7282321490. The cubic root of 1020210120 is about 1006.6918262404.

Adding to 1020210120 its reverse (210120201), we get a palindrome (1230330321).

The spelling of 1020210120 in words is "one billion, twenty million, two hundred ten thousand, one hundred twenty".