5005005510100 has 36 divisors (see below), whose sum is σ = 11235374444700. Its totient is φ = 1932967644160.

The previous prime is 5005005510079. The next prime is 5005005510107. The reversal of 5005005510100 is 10155005005.

It can be written as a sum of positive squares in 6 ways, for example, as 430317632196 + 4574687877904 = 655986^2 + 2138852^2 .

It is a super-2 number, since 2×5005005510100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005005510107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862929085 + ... + 862934884.

It is an arithmetic number, because the mean of its divisors is an integer number (312093734575).

Almost surely, 2^{5005005510100} is an apocalyptic number.

5005005510100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005005510100 is an abundant number, since it is smaller than the sum of its proper divisors (6230368934600).

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

5005005510100 is a wasteful number, since it uses less digits than its factorization.

5005005510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725864012 (or 1725864005 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

The spelling of 5005005510100 in words is "five trillion, five billion, five million, five hundred ten thousand, one hundred".