5102211122400 has 216 divisors, whose sum is σ = 19319158416600. Its totient is φ = 1166219658240.

The previous prime is 5102211122389. The next prime is 5102211122401. The reversal of 5102211122400 is 42211122015.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102211122401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21575475 + ... + 21810674.

It is an arithmetic number, because the mean of its divisors is an integer number (89440548225).

Almost surely, 2^{5102211122400} is an apocalyptic number.

5102211122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5102211122400 is an abundant number, since it is smaller than the sum of its proper divisors (14216947294200).

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

5102211122400 is a wasteful number, since it uses less digits than its factorization.

5102211122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43386186 (or 43386166 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 5102211122400 its reverse (42211122015), we get a palindrome (5144422244415).

The spelling of 5102211122400 in words is "five trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, four hundred".