10110505505111 has 16 divisors (see below), whose sum is σ = 11044088726400. Its totient is φ = 9179336292000.

The previous prime is 10110505505071. The next prime is 10110505505119. The reversal of 10110505505111 is 11150550501101.

It is a cyclic number.

It is not a de Polignac number, because 10110505505111 - 2¹⁰ = 10110505504087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110505505119) 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 15 ways as a sum of consecutive naturals, for example, 32435345 + ... + 32745573.

It is an arithmetic number, because the mean of its divisors is an integer number (690255545400).

Almost surely, 2^{10110505505111} is an apocalyptic number.

10110505505111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10110505505111 is a deficient number, since it is larger than the sum of its proper divisors (933583221289).

10110505505111 is a wasteful number, since it uses less digits than its factorization.

10110505505111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314110.

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 10110505505111 in words is "ten trillion, one hundred ten billion, five hundred five million, five hundred five thousand, one hundred eleven".