101011106005 has 32 divisors (see below), whose sum is σ = 130035248640. Its totient is φ = 75053921280.

The previous prime is 101011105961. The next prime is 101011106047. The reversal of 101011106005 is 500601110101.

It is not a de Polignac number, because 101011106005 - 2²⁹ = 100474235093 is a prime.

It is a super-3 number, since 3×101011106005³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101011106005.

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 31 ways as a sum of consecutive naturals, for example, 24689010 + ... + 24693100.

It is an arithmetic number, because the mean of its divisors is an integer number (4063601520).

Almost surely, 2^101011106005 is an apocalyptic number.

It is an amenable number.

101011106005 is a deficient number, since it is larger than the sum of its proper divisors (29024142635).

101011106005 is a wasteful number, since it uses less digits than its factorization.

101011106005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 101011106005 its reverse (500601110101), we get a palindrome (601612216106).

The spelling of 101011106005 in words is "one hundred one billion, eleven million, one hundred six thousand, five".