10011006101 has 4 divisors (see below), whose sum is σ = 10011482892. Its totient is φ = 10010529312.

The previous prime is 10011006097. The next prime is 10011006107. The reversal of 10011006101 is 10160011001.

10011006101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10160011001 = 7 ⋅1451430143.

It can be written as a sum of positive squares in 2 ways, for example, as 7203595876 + 2807410225 = 84874^2 + 52985^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011006101 - 2² = 10011006097 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 (10011006107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205376 + ... + 249401.

It is an arithmetic number, because the mean of its divisors is an integer number (2502870723).

Almost surely, 2^10011006101 is an apocalyptic number.

It is an amenable number.

10011006101 is a deficient number, since it is larger than the sum of its proper divisors (476791).

10011006101 is an equidigital number, since it uses as much as digits as its factorization.

10011006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476790.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011006101 its reverse (10160011001), we get a palindrome (20171017102).

The spelling of 10011006101 in words is "ten billion, eleven million, six thousand, one hundred one".