100510056100501 has 2 divisors, whose sum is σ = 100510056100502. Its totient is φ = 100510056100500.

The previous prime is 100510056100481. The next prime is 100510056100511. The reversal of 100510056100501 is 105001650015001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84586556439025 + 15923499661476 = 9197095^2 + 3990426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100510056100501 - 2²⁹ = 100509519229589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100510056100511) 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, 50255028050250 + 50255028050251.

It is an arithmetic number, because the mean of its divisors is an integer number (50255028050251).

Almost surely, 2^{100510056100501} is an apocalyptic number.

It is an amenable number.

100510056100501 is a deficient number, since it is larger than the sum of its proper divisors (1).

100510056100501 is an equidigital number, since it uses as much as digits as its factorization.

100510056100501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 100510056100501 in words is "one hundred trillion, five hundred ten billion, fifty-six million, one hundred thousand, five hundred one".