200522309148100 has 81 divisors (see below), whose sum is σ = 442651998889191. Its totient is φ = 78846165120000.

The previous prime is 200522309148097. The next prime is 200522309148121. The reversal of 200522309148100 is 1841903225002.

The square root of 200522309148100 is 14160590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27862498908036 + 172659810240064 = 5278494^2 + 13140008^2 .

It is a super-2 number, since 2×200522309148100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 200522309148100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8354736100 + ... + 8354760100.

Almost surely, 2^{200522309148100} is an apocalyptic number.

200522309148100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200522309148100 is the 14160590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200522309148100

200522309148100 is an abundant number, since it is smaller than the sum of its proper divisors (242129689741091).

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

200522309148100 is an frugal number, since it uses more digits than its factorization.

200522309148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48134 (or 24067 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 200522309148100 in words is "two hundred trillion, five hundred twenty-two billion, three hundred nine million, one hundred forty-eight thousand, one hundred".