1020100240 has 20 divisors (see below), whose sum is σ = 2371733244. Its totient is φ = 408040064.

The previous prime is 1020100217. The next prime is 1020100241. The reversal of 1020100240 is 420010201.

It can be written as a sum of positive squares in 2 ways, for example, as 286557184 + 733543056 = 16928^2 + 27084^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020100241) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6375547 + ... + 6375706.

Almost surely, 2^1020100240 is an apocalyptic number.

1020100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100240 is an abundant number, since it is smaller than the sum of its proper divisors (1351633004).

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

1020100240 is a wasteful number, since it uses less digits than its factorization.

1020100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12751266 (or 12751260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1020100240 is about 31939.0081248620. The cubic root of 1020100240 is about 1006.6556835977.

Adding to 1020100240 its reverse (420010201), we get a palindrome (1440110441).

The spelling of 1020100240 in words is "one billion, twenty million, one hundred thousand, two hundred forty".