5310122242100 has 288 divisors, whose sum is σ = 13131824509440. Its totient is φ = 1850760437760.

The previous prime is 5310122242069. The next prime is 5310122242123. The reversal of 5310122242100 is 12422210135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191045804 + ... + 191073596.

It is an arithmetic number, because the mean of its divisors is an integer number (45596612880).

Almost surely, 2^{5310122242100} is an apocalyptic number.

5310122242100 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 5310122242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565912254720).

5310122242100 is an abundant number, since it is smaller than the sum of its proper divisors (7821702267340).

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

5310122242100 is a wasteful number, since it uses less digits than its factorization.

5310122242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27979 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 5310122242100 its reverse (12422210135), we get a palindrome (5322544452235).

The spelling of 5310122242100 in words is "five trillion, three hundred ten billion, one hundred twenty-two million, two hundred forty-two thousand, one hundred".