10011122111141 has 2 divisors, whose sum is σ = 10011122111142. Its totient is φ = 10011122111140.

The previous prime is 10011122111017. The next prime is 10011122111257. The reversal of 10011122111141 is 14111122111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5028003467041 + 4983118644100 = 2242321^2 + 2232290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011122111141 - 2²² = 10011117916837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011122111741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005561055570 + 5005561055571.

It is an arithmetic number, because the mean of its divisors is an integer number (5005561055571).

Almost surely, 2^{10011122111141} is an apocalyptic number.

It is an amenable number.

10011122111141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011122111141 is an equidigital number, since it uses as much as digits as its factorization.

10011122111141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 10011122111141 its reverse (14111122111001), we get a palindrome (24122244222142).

The spelling of 10011122111141 in words is "ten trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred forty-one".