101056005006005 has 32 divisors (see below), whose sum is σ = 141208482636288. Its totient is φ = 67986896889600.

The previous prime is 101056005005983. The next prime is 101056005006007. The reversal of 101056005006005 is 500600500650101.

It is not a de Polignac number, because 101056005006005 - 2⁴² = 96657958494901 is a prime.

It is a super-2 number, since 2×101056005006005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101056005006007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113194520 + ... + 114083790.

It is an arithmetic number, because the mean of its divisors is an integer number (4412765082384).

Almost surely, 2^{101056005006005} is an apocalyptic number.

It is an amenable number.

101056005006005 is a deficient number, since it is larger than the sum of its proper divisors (40152477630283).

101056005006005 is an equidigital number, since it uses as much as digits as its factorization.

101056005006005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950597.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 101056005006005 its reverse (500600500650101), we get a palindrome (601656505656106).

The spelling of 101056005006005 in words is "one hundred one trillion, fifty-six billion, five million, six thousand, five".