5100205716100 has 72 divisors (see below), whose sum is σ = 12106476885888. Its totient is φ = 1849566652800.

The previous prime is 5100205716097. The next prime is 5100205716103. The reversal of 5100205716100 is 16175020015.

It is an interprime number because it is at equal distance from previous prime (5100205716097) and next prime (5100205716103).

It is a super-2 number, since 2×5100205716100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5100205716103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5913127 + ... + 6720526.

It is an arithmetic number, because the mean of its divisors is an integer number (168145512304).

Almost surely, 2^{5100205716100} is an apocalyptic number.

5100205716100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5100205716100 is an abundant number, since it is smaller than the sum of its proper divisors (7006271169788).

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

5100205716100 is a wasteful number, since it uses less digits than its factorization.

5100205716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634045 (or 12634038 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 5100205716100 in words is "five trillion, one hundred billion, two hundred five million, seven hundred sixteen thousand, one hundred".