10102122209 has 2 divisors, whose sum is σ = 10102122210. Its totient is φ = 10102122208.

The previous prime is 10102122119. The next prime is 10102122227. The reversal of 10102122209 is 90222120101.

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., 8322547984 + 1779574225 = 91228^2 + 42185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102122209 - 2¹⁶ = 10102056673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102142209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051061104 + 5051061105.

It is an arithmetic number, because the mean of its divisors is an integer number (5051061105).

Almost surely, 2^10102122209 is an apocalyptic number.

It is an amenable number.

10102122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102122209 is an equidigital number, since it uses as much as digits as its factorization.

10102122209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 10102122209 in words is "ten billion, one hundred two million, one hundred twenty-two thousand, two hundred nine".