2102201300 has 72 divisors (see below), whose sum is σ = 4996789560. Its totient is φ = 764108800.

The previous prime is 2102201293. The next prime is 2102201327. The reversal of 2102201300 is 31022012.

2102201300 = T₁₅₃ + T₁₅₄ + ... + T₂₃₂₇.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 186213316 + 1915987984 = 13646^2 + 43772^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27980 + ... + 70620.

It is an arithmetic number, because the mean of its divisors is an integer number (69399855).

Almost surely, 2^2102201300 is an apocalyptic number.

2102201300 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 2102201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498394780).

2102201300 is an abundant number, since it is smaller than the sum of its proper divisors (2894588260).

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

2102201300 is a wasteful number, since it uses less digits than its factorization.

2102201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42701 (or 42694 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2102201300 is about 45849.7688107585. The cubic root of 2102201300 is about 1281.0264593551.

Adding to 2102201300 its reverse (31022012), we get a palindrome (2133223312).

The spelling of 2102201300 in words is "two billion, one hundred two million, two hundred one thousand, three hundred".