10100200240 has 80 divisors (see below), whose sum is σ = 25356377088. Its totient is φ = 3719420928.

The previous prime is 10100200237. The next prime is 10100200261. The reversal of 10100200240 is 4200200101.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385642 + ... + 410998.

Almost surely, 2^10100200240 is an apocalyptic number.

10100200240 is a gapful number since it is divisible by the number (10) 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 10100200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12678188544).

10100200240 is an abundant number, since it is smaller than the sum of its proper divisors (15256176848).

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

10100200240 is a wasteful number, since it uses less digits than its factorization.

10100200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766 (or 25760 counting only the distinct ones).

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

Adding to 10100200240 its reverse (4200200101), we get a palindrome (14300400341).

The spelling of 10100200240 in words is "ten billion, one hundred million, two hundred thousand, two hundred forty".