4102444224102 has 256 divisors, whose sum is σ = 10211434168320. Its totient is φ = 1072658764800.

The previous prime is 4102444224091. The next prime is 4102444224119. The reversal of 4102444224102 is 2014224442014.

It is a super-2 number, since 2×4102444224102² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4102444224102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4018064352 + ... + 4018065372.

It is an arithmetic number, because the mean of its divisors is an integer number (39888414720).

Almost surely, 2^{4102444224102} is an apocalyptic number.

4102444224102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102444224102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105717084160).

4102444224102 is an abundant number, since it is smaller than the sum of its proper divisors (6108989944218).

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

4102444224102 is a wasteful number, since it uses less digits than its factorization.

4102444224102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187.

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4102444224102 its reverse (2014224442014), we get a palindrome (6116668666116).

The spelling of 4102444224102 in words is "four trillion, one hundred two billion, four hundred forty-four million, two hundred twenty-four thousand, one hundred two".