101205105011 has 8 divisors (see below), whose sum is σ = 106215766560. Its totient is φ = 96245313472.

The previous prime is 101205104969. The next prime is 101205105019. The reversal of 101205105011 is 110501502101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101205105011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101205105019) 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 7 ways as a sum of consecutive naturals, for example, 12713426 + ... + 12721383.

It is an arithmetic number, because the mean of its divisors is an integer number (13276970820).

Almost surely, 2^101205105011 is an apocalyptic number.

101205105011 is a deficient number, since it is larger than the sum of its proper divisors (5010661549).

101205105011 is a wasteful number, since it uses less digits than its factorization.

101205105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25435005.

The product of its (nonzero) digits is 50, while the sum is 17.

Adding to 101205105011 its reverse (110501502101), we get a palindrome (211706607112).

The spelling of 101205105011 in words is "one hundred one billion, two hundred five million, one hundred five thousand, eleven".