10055505111101 has 16 divisors (see below), whose sum is σ = 10706864430528. Its totient is φ = 9410919840000.

The previous prime is 10055505111089. The next prime is 10055505111103. The reversal of 10055505111101 is 10111150555001.

It is not a de Polignac number, because 10055505111101 - 2¹⁴ = 10055505094717 is a prime.

It is a super-2 number, since 2×10055505111101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055505111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693506 + ... + 4537836.

It is an arithmetic number, because the mean of its divisors is an integer number (669179026908).

Almost surely, 2^{10055505111101} is an apocalyptic number.

It is an amenable number.

10055505111101 is a deficient number, since it is larger than the sum of its proper divisors (651359319427).

10055505111101 is a wasteful number, since it uses less digits than its factorization.

10055505111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845212.

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

Adding to 10055505111101 its reverse (10111150555001), we get a palindrome (20166655666102).

The spelling of 10055505111101 in words is "ten trillion, fifty-five billion, five hundred five million, one hundred eleven thousand, one hundred one".