1020022100 has 72 divisors (see below), whose sum is σ = 2388081528. Its totient is φ = 376729600.

The previous prime is 1020022097. The next prime is 1020022111. The reversal of 1020022100 is 12200201.

1020022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 256384144 + 763637956 = 16012^2 + 27634^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84440 + ... + 95760.

It is an arithmetic number, because the mean of its divisors is an integer number (33167799).

Almost surely, 2^1020022100 is an apocalyptic number.

1020022100 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 1020022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194040764).

1020022100 is an abundant number, since it is smaller than the sum of its proper divisors (1368059428).

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

1020022100 is a wasteful number, since it uses less digits than its factorization.

1020022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405 (or 11398 counting only the distinct ones).

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

The square root of 1020022100 is about 31937.7848323894. The cubic root of 1020022100 is about 1006.6299795605.

Adding to 1020022100 its reverse (12200201), we get a palindrome (1032222301).

The spelling of 1020022100 in words is "one billion, twenty million, twenty-two thousand, one hundred".