10100055500505 has 48 divisors (see below), whose sum is σ = 17694697836816. Its totient is φ = 5329178542080.

The previous prime is 10100055500473. The next prime is 10100055500581. The reversal of 10100055500505 is 50500555000101.

10100055500505 is a `hidden beast` number, since 1 + 0 + 100 + 0 + 5 + 5 + 50 + 0 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3634330457664 + 6465725042841 = 1906392^2 + 2542779^2 .

It is not a de Polignac number, because 10100055500505 - 2⁵ = 10100055500473 is a prime.

It is a super-2 number, since 2×10100055500505² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 in 47 ways as a sum of consecutive naturals, for example, 1640532 + ... + 4784501.

It is an arithmetic number, because the mean of its divisors is an integer number (368639538267).

Almost surely, 2^{10100055500505} is an apocalyptic number.

10100055500505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10100055500505 is a deficient number, since it is larger than the sum of its proper divisors (7594642336311).

10100055500505 is a wasteful number, since it uses less digits than its factorization.

10100055500505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6425418 (or 6425415 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 10100055500505 in words is "ten trillion, one hundred billion, fifty-five million, five hundred thousand, five hundred five".