101021010689 has 2 divisors, whose sum is σ = 101021010690. Its totient is φ = 101021010688.

The previous prime is 101021010677. The next prime is 101021010697. The reversal of 101021010689 is 986010120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100955530225 + 65480464 = 317735^2 + 8092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021010689 is a prime.

It is not a weakly prime, because it can be changed into another prime (101021010659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510505344 + 50510505345.

It is an arithmetic number, because the mean of its divisors is an integer number (50510505345).

Almost surely, 2^101021010689 is an apocalyptic number.

It is an amenable number.

101021010689 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021010689 is an equidigital number, since it uses as much as digits as its factorization.

101021010689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 101021010689 in words is "one hundred one billion, twenty-one million, ten thousand, six hundred eighty-nine".