10211012220209 has 2 divisors, whose sum is σ = 10211012220210. Its totient is φ = 10211012220208.

The previous prime is 10211012220121. The next prime is 10211012220223. The reversal of 10211012220209 is 90202221011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8837111761984 + 1373900458225 = 2972728^2 + 1172135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211012220209 is a prime.

It is a super-2 number, since 2×10211012220209² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10211012220259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105506110104 + 5105506110105.

It is an arithmetic number, because the mean of its divisors is an integer number (5105506110105).

Almost surely, 2^{10211012220209} is an apocalyptic number.

It is an amenable number.

10211012220209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211012220209 is an equidigital number, since it uses as much as digits as its factorization.

10211012220209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10211012220209 in words is "ten trillion, two hundred eleven billion, twelve million, two hundred twenty thousand, two hundred nine".