105011106100111 has 2 divisors, whose sum is σ = 105011106100112. Its totient is φ = 105011106100110.

The previous prime is 105011106100067. The next prime is 105011106100123. The reversal of 105011106100111 is 111001601110501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105011106100111 - 2²⁹ = 105010569229199 is a prime.

It is a super-2 number, since 2×105011106100111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105011106100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505553050055 + 52505553050056.

It is an arithmetic number, because the mean of its divisors is an integer number (52505553050056).

Almost surely, 2^{105011106100111} is an apocalyptic number.

105011106100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011106100111 is an equidigital number, since it uses as much as digits as its factorization.

105011106100111 is an odious number, because the sum of its binary digits is odd.

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

Adding to 105011106100111 its reverse (111001601110501), we get a palindrome (216012707210612).

The spelling of 105011106100111 in words is "one hundred five trillion, eleven billion, one hundred six million, one hundred thousand, one hundred eleven".