2014102100224 has 144 divisors (see below), whose sum is σ = 4260697560000. Its totient is φ = 947583221760.

The previous prime is 2014102100203. The next prime is 2014102100233. The reversal of 2014102100224 is 4220012014102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583965252 + ... + 583968700.

It is an arithmetic number, because the mean of its divisors is an integer number (29588177500).

Almost surely, 2^{2014102100224} 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 2014102100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130348780000).

2014102100224 is an abundant number, since it is smaller than the sum of its proper divisors (2246595459776).

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

2014102100224 is a wasteful number, since it uses less digits than its factorization.

2014102100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2014102100224 its reverse (4220012014102), we get a palindrome (6234114114326).

The spelling of 2014102100224 in words is "two trillion, fourteen billion, one hundred two million, one hundred thousand, two hundred twenty-four".