100510000601 has 2 divisors, whose sum is σ = 100510000602. Its totient is φ = 100510000600.

The previous prime is 100510000519. The next prime is 100510000637. The reversal of 100510000601 is 106000015001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100504216576 + 5784025 = 317024^2 + 2405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100510000601 - 2¹⁴ = 100509984217 is a prime.

It is a super-2 number, since 2×100510000601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100510005601) 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, 50255000300 + 50255000301.

It is an arithmetic number, because the mean of its divisors is an integer number (50255000301).

Almost surely, 2^100510000601 is an apocalyptic number.

It is an amenable number.

100510000601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100510000601 is an equidigital number, since it uses as much as digits as its factorization.

100510000601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100510000601 its reverse (106000015001), we get a palindrome (206510015602).

The spelling of 100510000601 in words is "one hundred billion, five hundred ten million, six hundred one", and thus it is an aban number.