1010122211009 has 2 divisors, whose sum is σ = 1010122211010. Its totient is φ = 1010122211008.

The previous prime is 1010122210997. The next prime is 1010122211011. The reversal of 1010122211009 is 9001122210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 658740010384 + 351382200625 = 811628^2 + 592775^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010122211009 - 2¹² = 1010122206913 is a prime.

Together with 1010122211011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1010122211809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505061105504 + 505061105505.

It is an arithmetic number, because the mean of its divisors is an integer number (505061105505).

Almost surely, 2^{1010122211009} is an apocalyptic number.

It is an amenable number.

1010122211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010122211009 is an equidigital number, since it uses as much as digits as its factorization.

1010122211009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 1010122211009 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred eleven thousand, nine".