10011112111109 has 2 divisors, whose sum is σ = 10011112111110. Its totient is φ = 10011112111108.

The previous prime is 10011112110953. The next prime is 10011112111123. The reversal of 10011112111109 is 90111121111001.

It is a happy number.

10011112111109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9717228859009 + 293883252100 = 3117247^2 + 542110^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011112111109 - 2¹² = 10011112107013 is a prime.

It is a super-2 number, since 2×10011112111109² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112119109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556055554 + 5005556055555.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556055555).

Almost surely, 2^{10011112111109} is an apocalyptic number.

It is an amenable number.

10011112111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112111109 is an equidigital number, since it uses as much as digits as its factorization.

10011112111109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 20.

The spelling of 10011112111109 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred nine".