51000101061100 has 108 divisors (see below), whose sum is σ = 111266914914792. Its totient is φ = 20290633708800.

The previous prime is 51000101061047. The next prime is 51000101061103. The reversal of 51000101061100 is 116010100015.

51000101061100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51000101061103) 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, 10653872907 + ... + 10653877693.

It is an arithmetic number, because the mean of its divisors is an integer number (1030249212174).

Almost surely, 2^{51000101061100} is an apocalyptic number.

51000101061100 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 51000101061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55633457457396).

51000101061100 is an abundant number, since it is smaller than the sum of its proper divisors (60266813853692).

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

51000101061100 is a wasteful number, since it uses less digits than its factorization.

51000101061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 51000101061100 its reverse (116010100015), we get a palindrome (51116111161115).

The spelling of 51000101061100 in words is "fifty-one trillion, one hundred one million, sixty-one thousand, one hundred".