10111101361 has 2 divisors, whose sum is σ = 10111101362. Its totient is φ = 10111101360.

The previous prime is 10111101331. The next prime is 10111101439. The reversal of 10111101361 is 16310111101.

10111101361 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., 5333526961 + 4777574400 = 73031^2 + 69120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111101361 - 2⁷ = 10111101233 is a prime.

It is a super-3 number, since 3×10111101361³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10111101331) 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, 5055550680 + 5055550681.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550681).

Almost surely, 2^10111101361 is an apocalyptic number.

It is an amenable number.

10111101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101361 is an equidigital number, since it uses as much as digits as its factorization.

10111101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10111101361 its reverse (16310111101), we get a palindrome (26421212462).

The spelling of 10111101361 in words is "ten billion, one hundred eleven million, one hundred one thousand, three hundred sixty-one".