100240213320 has 192 divisors, whose sum is σ = 362939194800. Its totient is φ = 23823636480.

The previous prime is 100240213313. The next prime is 100240213327. The reversal of 100240213320 is 23312042001.

100240213320 is a `hidden beast` number, since 100 + 240 + 2 + 1 + 3 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (100240213313) and next prime (100240213327).

It can be written as a sum of positive squares in 8 ways, for example, as 30090453156 + 70149760164 = 173466^2 + 264858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100240213293 and 100240213302.

It is not an unprimeable number, because it can be changed into a prime (100240213327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233571 + ... + 505010.

Almost surely, 2^100240213320 is an apocalyptic number.

100240213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100240213320 is an abundant number, since it is smaller than the sum of its proper divisors (262698981480).

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

100240213320 is a wasteful number, since it uses less digits than its factorization.

100240213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738640 (or 738633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100240213320 its reverse (23312042001), we get a palindrome (123552255321).

The spelling of 100240213320 in words is "one hundred billion, two hundred forty million, two hundred thirteen thousand, three hundred twenty".