5042127060100 has 144 divisors (see below), whose sum is σ = 12062759965200. Its totient is φ = 1818021888000.

The previous prime is 5042127060073. The next prime is 5042127060101. The reversal of 5042127060100 is 10607212405.

It can be written as a sum of positive squares in 24 ways, for example, as 3264576830596 + 1777550229504 = 1806814^2 + 1333248^2 .

It is not an unprimeable number, because it can be changed into a prime (5042127060101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9321876 + ... + 9847924.

It is an arithmetic number, because the mean of its divisors is an integer number (83769166425).

Almost surely, 2^{5042127060100} is an apocalyptic number.

5042127060100 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 5042127060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031379982600).

5042127060100 is an abundant number, since it is smaller than the sum of its proper divisors (7020632905100).

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

5042127060100 is a wasteful number, since it uses less digits than its factorization.

5042127060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526250 (or 526243 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 5042127060100 in words is "five trillion, forty-two billion, one hundred twenty-seven million, sixty thousand, one hundred".