10101022100209 has 2 divisors, whose sum is σ = 10101022100210. Its totient is φ = 10101022100208.

The previous prime is 10101022100189. The next prime is 10101022100219. The reversal of 10101022100209 is 90200122010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7547673773809 + 2553348326400 = 2747303^2 + 1597920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101022100209 - 2¹¹ = 10101022098161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101022100219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050511050104 + 5050511050105.

It is an arithmetic number, because the mean of its divisors is an integer number (5050511050105).

Almost surely, 2^{10101022100209} is an apocalyptic number.

It is an amenable number.

10101022100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101022100209 is an equidigital number, since it uses as much as digits as its factorization.

10101022100209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10101022100209 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand, two hundred nine".