101061111100105 has 8 divisors (see below), whose sum is σ = 130602051267912. Its totient is φ = 74629743581568.

The previous prime is 101061111100057. The next prime is 101061111100177. The reversal of 101061111100105 is 501001111160101.

It can be written as a sum of positive squares in 4 ways, for example, as 24087914307136 + 76973196792969 = 4907944^2 + 8773437^2 .

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-101061111100105 is a prime.

It is a super-3 number, since 3×101061111100105³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777393162244 + ... + 777393162373.

It is an arithmetic number, because the mean of its divisors is an integer number (16325256408489).

Almost surely, 2^{101061111100105} is an apocalyptic number.

It is an amenable number.

101061111100105 is a deficient number, since it is larger than the sum of its proper divisors (29540940167807).

101061111100105 is a wasteful number, since it uses less digits than its factorization.

101061111100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554786324635.

The product of its (nonzero) digits is 30, while the sum is 19.

Adding to 101061111100105 its reverse (501001111160101), we get a palindrome (602062222260206).

The spelling of 101061111100105 in words is "one hundred one trillion, sixty-one billion, one hundred eleven million, one hundred thousand, one hundred five".