101006055005 has 4 divisors (see below), whose sum is σ = 121207266012. Its totient is φ = 80804844000.

The previous prime is 101006054951. The next prime is 101006055011. The reversal of 101006055005 is 500550600101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 500550600101 = 501001 ⋅999101.

It can be written as a sum of positive squares in 2 ways, for example, as 37973927161 + 63032127844 = 194869^2 + 251062^2 .

It is not a de Polignac number, because 101006055005 - 2⁸ = 101006054749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 10100605496 + ... + 10100605505.

It is an arithmetic number, because the mean of its divisors is an integer number (30301816503).

Almost surely, 2^101006055005 is an apocalyptic number.

It is an amenable number.

101006055005 is a deficient number, since it is larger than the sum of its proper divisors (20201211007).

101006055005 is an equidigital number, since it uses as much as digits as its factorization.

101006055005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201211006.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 101006055005 its reverse (500550600101), we get a palindrome (601556655106).

The spelling of 101006055005 in words is "one hundred one billion, six million, fifty-five thousand, five".