4600510100101 has 2 divisors, whose sum is σ = 4600510100102. Its totient is φ = 4600510100100.

The previous prime is 4600510100083. The next prime is 4600510100117. The reversal of 4600510100101 is 1010010150064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2988752897601 + 1611757202500 = 1728801^2 + 1269550^2 .

It is a cyclic number.

It is not a de Polignac number, because 4600510100101 - 2¹³ = 4600510091909 is a prime.

It is a super-2 number, since 2×4600510100101² (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 (4600510100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2300255050050 + 2300255050051.

It is an arithmetic number, because the mean of its divisors is an integer number (2300255050051).

Almost surely, 2^{4600510100101} is an apocalyptic number.

It is an amenable number.

4600510100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4600510100101 is an equidigital number, since it uses as much as digits as its factorization.

4600510100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 4600510100101 its reverse (1010010150064), we get a palindrome (5610520250165).

The spelling of 4600510100101 in words is "four trillion, six hundred billion, five hundred ten million, one hundred thousand, one hundred one".