10102211121089 has 2 divisors, whose sum is σ = 10102211121090. Its totient is φ = 10102211121088.

The previous prime is 10102211121061. The next prime is 10102211121137. The reversal of 10102211121089 is 98012111220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7233195091600 + 2869016029489 = 2689460^2 + 1693817^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102211121089 - 2²⁸ = 10101942685633 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102211123089) 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, 5051105560544 + 5051105560545.

It is an arithmetic number, because the mean of its divisors is an integer number (5051105560545).

Almost surely, 2^{10102211121089} is an apocalyptic number.

It is an amenable number.

10102211121089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102211121089 is an equidigital number, since it uses as much as digits as its factorization.

10102211121089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 10102211121089 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, eighty-nine".