101042205105 has 24 divisors (see below), whose sum is σ = 170624187072. Its totient is φ = 51052900896.

The previous prime is 101042205083. The next prime is 101042205109. The reversal of 101042205105 is 501502240101.

It is not a de Polignac number, because 101042205105 - 2¹⁵ = 101042172337 is a prime.

It is a super-2 number, since 2×101042205105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101042205109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9324429 + ... + 9335258.

It is an arithmetic number, because the mean of its divisors is an integer number (7109341128).

Almost surely, 2^101042205105 is an apocalyptic number.

101042205105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101042205105 is a deficient number, since it is larger than the sum of its proper divisors (69581981967).

101042205105 is a wasteful number, since it uses less digits than its factorization.

101042205105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659733 (or 18659714 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 101042205105 its reverse (501502240101), we get a palindrome (602544445206).

The spelling of 101042205105 in words is "one hundred one billion, forty-two million, two hundred five thousand, one hundred five".