10211011010689 has 2 divisors, whose sum is σ = 10211011010690. Its totient is φ = 10211011010688.

The previous prime is 10211011010647. The next prime is 10211011010713. The reversal of 10211011010689 is 98601011011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9184639400689 + 1026371610000 = 3030617^2 + 1013100^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211011010689 - 2²¹ = 10211008913537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10211011010689.

It is not a weakly prime, because it can be changed into another prime (10211011010089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105505505344 + 5105505505345.

It is an arithmetic number, because the mean of its divisors is an integer number (5105505505345).

Almost surely, 2^{10211011010689} is an apocalyptic number.

It is an amenable number.

10211011010689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211011010689 is an equidigital number, since it uses as much as digits as its factorization.

10211011010689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 31.

The spelling of 10211011010689 in words is "ten trillion, two hundred eleven billion, eleven million, ten thousand, six hundred eighty-nine".