20102020200 has 144 divisors (see below), whose sum is σ = 68783371020. Its totient is φ = 5259371520.

The previous prime is 20102020193. The next prime is 20102020207. The reversal of 20102020200 is 202020102.

It is an interprime number because it is at equal distance from previous prime (20102020193) and next prime (20102020207).

It can be written as a sum of positive squares in 6 ways, for example, as 2881757124 + 17220263076 = 53682^2 + 131226^2 .

It is a super-3 number, since 3×20102020200³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (20102020207) 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 35 ways as a sum of consecutive naturals, for example, 9957 + ... + 200756.

Almost surely, 2^20102020200 is an apocalyptic number.

20102020200 is a gapful number since it is divisible by the number (20) 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 20102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34391685510).

20102020200 is an abundant number, since it is smaller than the sum of its proper divisors (48681350820).

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

20102020200 is a wasteful number, since it uses less digits than its factorization.

20102020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210788 (or 210776 counting only the distinct ones).

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

Adding to 20102020200 its reverse (202020102), we get a palindrome (20304040302).

The spelling of 20102020200 in words is "twenty billion, one hundred two million, twenty thousand, two hundred".