51122444100 has 576 divisors, whose sum is σ = 194494218240. Its totient is φ = 10073548800.

The previous prime is 51122444099. The next prime is 51122444117. The reversal of 51122444100 is 144422115.

51122444100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51122444100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24541659 + ... + 24543741.

Almost surely, 2^51122444100 is an apocalyptic number.

51122444100 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 51122444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97247109120).

51122444100 is an abundant number, since it is smaller than the sum of its proper divisors (143371774140).

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

51122444100 is a wasteful number, since it uses less digits than its factorization.

51122444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 51122444100 its reverse (144422115), we get a palindrome (51266866215).

The spelling of 51122444100 in words is "fifty-one billion, one hundred twenty-two million, four hundred forty-four thousand, one hundred".