5006100510101 has 2 divisors, whose sum is σ = 5006100510102. Its totient is φ = 5006100510100.

The previous prime is 5006100510083. The next prime is 5006100510107. The reversal of 5006100510101 is 1010150016005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3995621199025 + 1010479311076 = 1998905^2 + 1005226^2 .

It is a cyclic number.

It is not a de Polignac number, because 5006100510101 - 2¹⁴ = 5006100493717 is a prime.

It is a super-2 number, since 2×5006100510101² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5006100510107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2503050255050 + 2503050255051.

It is an arithmetic number, because the mean of its divisors is an integer number (2503050255051).

Almost surely, 2^{5006100510101} is an apocalyptic number.

It is an amenable number.

5006100510101 is a deficient number, since it is larger than the sum of its proper divisors (1).

5006100510101 is an equidigital number, since it uses as much as digits as its factorization.

5006100510101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 5006100510101 its reverse (1010150016005), we get a palindrome (6016250526106).

The spelling of 5006100510101 in words is "five trillion, six billion, one hundred million, five hundred ten thousand, one hundred one".