100510050055601 has 2 divisors, whose sum is σ = 100510050055602. Its totient is φ = 100510050055600.

The previous prime is 100510050055561. The next prime is 100510050055627. The reversal of 100510050055601 is 106550050015001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92101929150625 + 8408120904976 = 9596975^2 + 2899676^2 .

It is a cyclic number.

It is not a de Polignac number, because 100510050055601 - 2¹⁰ = 100510050054577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100510050055201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50255025027800 + 50255025027801.

It is an arithmetic number, because the mean of its divisors is an integer number (50255025027801).

Almost surely, 2^{100510050055601} is an apocalyptic number.

It is an amenable number.

100510050055601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100510050055601 is an equidigital number, since it uses as much as digits as its factorization.

100510050055601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100510050055601 in words is "one hundred trillion, five hundred ten billion, fifty million, fifty-five thousand, six hundred one".