100421213440 has 144 divisors (see below), whose sum is σ = 243474371280. Its totient is φ = 39680409600.

The previous prime is 100421213429. The next prime is 100421213441. The reversal of 100421213440 is 44312124001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28558336 + 100392655104 = 5344^2 + 316848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100421213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107172652 + ... + 107173588.

It is an arithmetic number, because the mean of its divisors is an integer number (1690794245).

Almost surely, 2^100421213440 is an apocalyptic number.

100421213440 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 100421213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121737185640).

100421213440 is an abundant number, since it is smaller than the sum of its proper divisors (143053157840).

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

100421213440 is an equidigital number, since it uses as much as digits as its factorization.

100421213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100421213440 its reverse (44312124001), we get a palindrome (144733337441).

The spelling of 100421213440 in words is "one hundred billion, four hundred twenty-one million, two hundred thirteen thousand, four hundred forty".