2010201300 has 180 divisors, whose sum is σ = 6676314876. Its totient is φ = 522892800.

The previous prime is 2010201299. The next prime is 2010201317. The reversal of 2010201300 is 31020102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 794563344 + 1215637956 = 28188^2 + 34866^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 329074 + ... + 335126.

Almost surely, 2^2010201300 is an apocalyptic number.

2010201300 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 2010201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338157438).

2010201300 is an abundant number, since it is smaller than the sum of its proper divisors (4666113576).

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

2010201300 is a wasteful number, since it uses less digits than its factorization.

2010201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2010201300 is about 44835.2684836391. The cubic root of 2010201300 is about 1262.0595568482.

Adding to 2010201300 its reverse (31020102), we get a palindrome (2041221402).

The spelling of 2010201300 in words is "two billion, ten million, two hundred one thousand, three hundred".