101222101211009 has 2 divisors, whose sum is σ = 101222101211010. Its totient is φ = 101222101211008.

The previous prime is 101222101211003. The next prime is 101222101211117. The reversal of 101222101211009 is 900112101222101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101098439971984 + 123661239025 = 10054772^2 + 351655^2 .

It is a cyclic number.

It is not a de Polignac number, because 101222101211009 - 2⁴⁴ = 83629915166593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101222101211003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611050605504 + 50611050605505.

It is an arithmetic number, because the mean of its divisors is an integer number (50611050605505).

Almost surely, 2^{101222101211009} is an apocalyptic number.

It is an amenable number.

101222101211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222101211009 is an equidigital number, since it uses as much as digits as its factorization.

101222101211009 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 23.

The spelling of 101222101211009 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred one million, two hundred eleven thousand, nine".