51100501050100 has 72 divisors (see below), whose sum is σ = 112560466077080. Its totient is φ = 20132691886080.

The previous prime is 51100501050061. The next prime is 51100501050119. The reversal of 51100501050100 is 105010500115.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12470348070244 + 38630152979856 = 3531338^2 + 6215316^2 .

It is a super-2 number, since 2×51100501050100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575956 + ... + 10125844.

Almost surely, 2^{51100501050100} is an apocalyptic number.

51100501050100 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 51100501050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56280233038540).

51100501050100 is an abundant number, since it is smaller than the sum of its proper divisors (61459965026980).

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

51100501050100 is a wasteful number, since it uses less digits than its factorization.

51100501050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550709 (or 9550702 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 51100501050100 its reverse (105010500115), we get a palindrome (51205511550215).

The spelling of 51100501050100 in words is "fifty-one trillion, one hundred billion, five hundred one million, fifty thousand, one hundred".