105011111111101 has 4 divisors (see below), whose sum is σ = 113088888888892. Its totient is φ = 96933333333312.

The previous prime is 105011111111087. The next prime is 105011111111129. The reversal of 105011111111101 is 101111111110501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 66946776774201 + 38064334336900 = 8182101^2 + 6169630^2 .

It is a cyclic number.

It is not a de Polignac number, because 105011111111101 - 2⁹ = 105011111110589 is a prime.

It is a super-2 number, since 2×105011111111101² (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 (105011111111131) 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 3 ways as a sum of consecutive naturals, for example, 4038888888876 + ... + 4038888888901.

It is an arithmetic number, because the mean of its divisors is an integer number (28272222222223).

Almost surely, 2^{105011111111101} is an apocalyptic number.

It is an amenable number.

105011111111101 is a deficient number, since it is larger than the sum of its proper divisors (8077777777791).

105011111111101 is an equidigital number, since it uses as much as digits as its factorization.

105011111111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077777777790.

The product of its (nonzero) digits is 5, while the sum is 16.

Adding to 105011111111101 its reverse (101111111110501), we get a palindrome (206122222221602).

The spelling of 105011111111101 in words is "one hundred five trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred one".