20100202020 has 72 divisors (see below), whose sum is σ = 60991762104. Its totient is φ = 5358194688.

The previous prime is 20100201983. The next prime is 20100202091. The reversal of 20100202020 is 2020200102.

It can be written as a sum of positive squares in 4 ways, for example, as 4177295424 + 15922906596 = 64632^2 + 126186^2 .

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

20100202020 is a modest number, since divided by 202020 gives 20100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20100201993 and 20100202011.

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, 546862 + ... + 582458.

It is an arithmetic number, because the mean of its divisors is an integer number (847107807).

Almost surely, 2^20100202020 is an apocalyptic number.

20100202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100202020 is an abundant number, since it is smaller than the sum of its proper divisors (40891560084).

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

20100202020 is a wasteful number, since it uses less digits than its factorization.

20100202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38749 (or 38744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20100202020 its reverse (2020200102), we get a palindrome (22120402122).

The spelling of 20100202020 in words is "twenty billion, one hundred million, two hundred two thousand, twenty".