5102222126100 has 1152 divisors, whose sum is σ = 18097481687040. Its totient is φ = 1095376896000.

The previous prime is 5102222126047. The next prime is 5102222126129. The reversal of 5102222126100 is 16212222015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14212317721 + ... + 14212318079.

It is an arithmetic number, because the mean of its divisors is an integer number (15709619520).

Almost surely, 2^{5102222126100} is an apocalyptic number.

5102222126100 is a gapful number since it is divisible by the number (50) 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 5102222126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048740843520).

5102222126100 is an abundant number, since it is smaller than the sum of its proper divisors (12995259560940).

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

5102222126100 is a wasteful number, since it uses less digits than its factorization.

5102222126100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 5102222126100 its reverse (16212222015), we get a palindrome (5118434348115).

It can be divided in two parts, 51022 and 22126100, that added together give a palindrome (22177122).

The spelling of 5102222126100 in words is "five trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty-six thousand, one hundred".