10111121120053 has 2 divisors, whose sum is σ = 10111121120054. Its totient is φ = 10111121120052.

The previous prime is 10111121120021. The next prime is 10111121120057. The reversal of 10111121120053 is 35002112111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8247792378609 + 1863328741444 = 2871897^2 + 1365038^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111121120053 - 2⁵ = 10111121120021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111121120053.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111121120057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055560560026 + 5055560560027.

It is an arithmetic number, because the mean of its divisors is an integer number (5055560560027).

Almost surely, 2^{10111121120053} is an apocalyptic number.

It is an amenable number.

10111121120053 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111121120053 is an equidigital number, since it uses as much as digits as its factorization.

10111121120053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 19.

Adding to 10111121120053 its reverse (35002112111101), we get a palindrome (45113233231154).

The spelling of 10111121120053 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, fifty-three".