100343211144 has 128 divisors (see below), whose sum is σ = 293843220480. Its totient is φ = 28215219200.

The previous prime is 100343211131. The next prime is 100343211151. The reversal of 100343211144 is 441112343001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161197 + ... + 476099.

It is an arithmetic number, because the mean of its divisors is an integer number (2295650160).

Almost surely, 2^100343211144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100343211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146921610240).

100343211144 is an abundant number, since it is smaller than the sum of its proper divisors (193500009336).

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

100343211144 is a wasteful number, since it uses less digits than its factorization.

100343211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315011 (or 315007 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 100343211144 its reverse (441112343001), we get a palindrome (541455554145).

The spelling of 100343211144 in words is "one hundred billion, three hundred forty-three million, two hundred eleven thousand, one hundred forty-four".