10111121111801 has 2 divisors, whose sum is σ = 10111121111802. Its totient is φ = 10111121111800.

The previous prime is 10111121111797. The next prime is 10111121111803. The reversal of 10111121111801 is 10811112111101.

10111121111801 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., 8518085867776 + 1593035244025 = 2918576^2 + 1262155^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111121111801 - 2² = 10111121111797 is a prime.

Together with 10111121111803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10111121111803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055560555900 + 5055560555901.

It is an arithmetic number, because the mean of its divisors is an integer number (5055560555901).

Almost surely, 2^{10111121111801} is an apocalyptic number.

It is an amenable number.

10111121111801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111121111801 is an equidigital number, since it uses as much as digits as its factorization.

10111121111801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 20.

Adding to 10111121111801 its reverse (10811112111101), we get a palindrome (20922233222902).

The spelling of 10111121111801 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, eight hundred one".