5006101100100 has 144 divisors (see below), whose sum is σ = 15339055737600. Its totient is φ = 1256210565120.

The previous prime is 5006101100057. The next prime is 5006101100113. The reversal of 5006101100100 is 10011016005.

It is a super-2 number, since 2×5006101100100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5006101100100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29694846 + ... + 29862954.

It is an arithmetic number, because the mean of its divisors is an integer number (106521220400).

Almost surely, 2^{5006101100100} is an apocalyptic number.

5006101100100 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 5006101100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7669527868800).

5006101100100 is an abundant number, since it is smaller than the sum of its proper divisors (10332954637500).

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

5006101100100 is a wasteful number, since it uses less digits than its factorization.

5006101100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173982 (or 173975 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 5006101100100 its reverse (10011016005), we get a palindrome (5016112116105).

The spelling of 5006101100100 in words is "five trillion, six billion, one hundred one million, one hundred thousand, one hundred".