10011111111121 has 2 divisors, whose sum is σ = 10011111111122. Its totient is φ = 10011111111120.

The previous prime is 10011111111097. The next prime is 10011111111161. The reversal of 10011111111121 is 12111111111001.

10011111111121 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., 8950334707521 + 1060776403600 = 2991711^2 + 1029940^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011111111121 - 2¹³ = 10011111102929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011111111161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005555555560 + 5005555555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5005555555561).

Almost surely, 2^{10011111111121} is an apocalyptic number.

It is an amenable number.

10011111111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011111111121 is an equidigital number, since it uses as much as digits as its factorization.

10011111111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 10011111111121 its reverse (12111111111001), we get a palindrome (22122222222122).

The spelling of 10011111111121 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".