100214325440 has 112 divisors (see below), whose sum is σ = 258836062464. Its totient is φ = 36807475200.

The previous prime is 100214325403. The next prime is 100214325521. The reversal of 100214325440 is 44523412001.

It is a super-2 number, since 2×100214325440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1616 + ... + 447695.

It is an arithmetic number, because the mean of its divisors is an integer number (2311036272).

Almost surely, 2^100214325440 is an apocalyptic number.

100214325440 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 100214325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129418031232).

100214325440 is an abundant number, since it is smaller than the sum of its proper divisors (158621737024).

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

100214325440 is a wasteful number, since it uses less digits than its factorization.

100214325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449386 (or 449376 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 100214325440 its reverse (44523412001), we get a palindrome (144737737441).

The spelling of 100214325440 in words is "one hundred billion, two hundred fourteen million, three hundred twenty-five thousand, four hundred forty".