1020212020 has 48 divisors (see below), whose sum is σ = 2203278336. Its totient is φ = 396576000.

The previous prime is 1020211991. The next prime is 1020212029. The reversal of 1020212020 is 202120201.

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 = 1020211988 and 1020212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212029) 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 15 ways as a sum of consecutive naturals, for example, 219925 + ... + 224515.

It is an arithmetic number, because the mean of its divisors is an integer number (45901632).

Almost surely, 2^1020212020 is an apocalyptic number.

1020212020 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 1020212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101639168).

1020212020 is an abundant number, since it is smaller than the sum of its proper divisors (1183066316).

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

1020212020 is a wasteful number, since it uses less digits than its factorization.

1020212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4910 counting only the distinct ones).

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

The square root of 1020212020 is about 31940.7579747256. The cubic root of 1020212020 is about 1006.6924511813.

Adding to 1020212020 its reverse (202120201), we get a palindrome (1222332221).

It can be divided in two parts, 10202 and 12020, that added together give a palindrome (22222).

The spelling of 1020212020 in words is "one billion, twenty million, two hundred twelve thousand, twenty".