100340213120 has 128 divisors (see below), whose sum is σ = 277614950400. Its totient is φ = 33966766080.

The previous prime is 100340213021. The next prime is 100340213123. The reversal of 100340213120 is 21312043001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100340213123) 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, 212165 + ... + 495675.

It is an arithmetic number, because the mean of its divisors is an integer number (2168866800).

Almost surely, 2^100340213120 is an apocalyptic number.

100340213120 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 100340213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138807475200).

100340213120 is an abundant number, since it is smaller than the sum of its proper divisors (177274737280).

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

100340213120 is an equidigital number, since it uses as much as digits as its factorization.

100340213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283616 (or 283604 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100340213120 its reverse (21312043001), we get a palindrome (121652256121).

The spelling of 100340213120 in words is "one hundred billion, three hundred forty million, two hundred thirteen thousand, one hundred twenty".