2541302200100 has 36 divisors (see below), whose sum is σ = 5521759998804. Its totient is φ = 1015205815680.

The previous prime is 2541302200081. The next prime is 2541302200109. The reversal of 2541302200100 is 10022031452.

2541302200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1149029637184 + 1392272562916 = 1071928^2 + 1179946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2541302200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16360619 + ... + 16515218.

It is an arithmetic number, because the mean of its divisors is an integer number (153382222189).

Almost surely, 2^{2541302200100} is an apocalyptic number.

2541302200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541302200100 is an abundant number, since it is smaller than the sum of its proper divisors (2980457798704).

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

2541302200100 is a wasteful number, since it uses less digits than its factorization.

2541302200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32876624 (or 32876617 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2541302200100 its reverse (10022031452), we get a palindrome (2551324231552).

The spelling of 2541302200100 in words is "two trillion, five hundred forty-one billion, three hundred two million, two hundred thousand, one hundred".