110106010555101 has 18 divisors (see below), whose sum is σ = 174814777090590. Its totient is φ = 66730915487280.

The previous prime is 110106010555091. The next prime is 110106010555139. The reversal of 110106010555101 is 101555010601011.

110106010555101 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 6 + 0 + 1 + 0 + 555 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88945081344900 + 21160929210201 = 9431070^2 + 4600101^2 .

It is not a de Polignac number, because 110106010555101 - 2²⁹ = 110105473684189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110106010755101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50553722766 + ... + 50553724943.

Almost surely, 2^{110106010555101} is an apocalyptic number.

110106010555101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110106010555101 is a deficient number, since it is larger than the sum of its proper divisors (64708766535489).

110106010555101 is a wasteful number, since it uses less digits than its factorization.

110106010555101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101107447737 (or 101107447723 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 110106010555101 in words is "one hundred ten trillion, one hundred six billion, ten million, five hundred fifty-five thousand, one hundred one".