10022111121689 has 2 divisors, whose sum is σ = 10022111121690. Its totient is φ = 10022111121688.

The previous prime is 10022111121643. The next prime is 10022111121707. The reversal of 10022111121689 is 98612111122001.

10022111121689 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., 9751598790025 + 270512331664 = 3122755^2 + 520108^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022111121689 is a prime.

It is a super-2 number, since 2×10022111121689² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022111121089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011055560844 + 5011055560845.

It is an arithmetic number, because the mean of its divisors is an integer number (5011055560845).

Almost surely, 2^{10022111121689} is an apocalyptic number.

It is an amenable number.

10022111121689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022111121689 is an equidigital number, since it uses as much as digits as its factorization.

10022111121689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 35.

The spelling of 10022111121689 in words is "ten trillion, twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, six hundred eighty-nine".