103144211120 has 80 divisors (see below), whose sum is σ = 241333616160. Its totient is φ = 40995993600.

The previous prime is 103144211119. The next prime is 103144211207. The reversal of 103144211120 is 21112441301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103144211092 and 103144211101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24918011 + ... + 24922149.

It is an arithmetic number, because the mean of its divisors is an integer number (3016670202).

Almost surely, 2^103144211120 is an apocalyptic number.

103144211120 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 103144211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120666808080).

103144211120 is an abundant number, since it is smaller than the sum of its proper divisors (138189405040).

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

103144211120 is a wasteful number, since it uses less digits than its factorization.

103144211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 103144211120 its reverse (21112441301), we get a palindrome (124256652421).

The spelling of 103144211120 in words is "one hundred three billion, one hundred forty-four million, two hundred eleven thousand, one hundred twenty".