10111061101 has 2 divisors, whose sum is σ = 10111061102. Its totient is φ = 10111061100.

The previous prime is 10111061099. The next prime is 10111061111. The reversal of 10111061101 is 10116011101.

10111061101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8388728100 + 1722333001 = 91590^2 + 41501^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10119011101 and 10111091101.

It is a cyclic number.

It is not a de Polignac number, because 10111061101 - 2¹ = 10111061099 is a prime.

Together with 10111061099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111061111) 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 as a sum of consecutive naturals, namely, 5055530550 + 5055530551.

It is an arithmetic number, because the mean of its divisors is an integer number (5055530551).

Almost surely, 2^10111061101 is an apocalyptic number.

It is an amenable number.

10111061101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111061101 is an equidigital number, since it uses as much as digits as its factorization.

10111061101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10111061101 its reverse (10116011101), we get a palindrome (20227072202).

The spelling of 10111061101 in words is "ten billion, one hundred eleven million, sixty-one thousand, one hundred one".