20102011200 has 504 divisors, whose sum is σ = 75966934680. Its totient is φ = 5031936000.

The previous prime is 20102011183. The next prime is 20102011207. The reversal of 20102011200 is 211020102.

It can be written as a sum of positive squares in 12 ways, for example, as 7711649856 + 12390361344 = 87816^2 + 111312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102011207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15450550 + ... + 15451850.

It is an arithmetic number, because the mean of its divisors is an integer number (150728045).

Almost surely, 2^20102011200 is an apocalyptic number.

20102011200 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 20102011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37983467340).

20102011200 is an abundant number, since it is smaller than the sum of its proper divisors (55864923480).

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

20102011200 is a wasteful number, since it uses less digits than its factorization.

20102011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1377 counting only the distinct ones).

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

Adding to 20102011200 its reverse (211020102), we get a palindrome (20313031302).

The spelling of 20102011200 in words is "twenty billion, one hundred two million, eleven thousand, two hundred".