20101222000009 has 2 divisors, whose sum is σ = 20101222000010. Its totient is φ = 20101222000008.

The previous prime is 20101221999983. The next prime is 20101222000033. The reversal of 20101222000009 is 90000022210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20043278288784 + 57943711225 = 4476972^2 + 240715^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101222000009 - 2²⁹ = 20100685129097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20101222000009.

It is not a weakly prime, because it can be changed into another prime (20101222000039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050611000004 + 10050611000005.

It is an arithmetic number, because the mean of its divisors is an integer number (10050611000005).

Almost surely, 2^{20101222000009} is an apocalyptic number.

It is an amenable number.

20101222000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101222000009 is an equidigital number, since it uses as much as digits as its factorization.

20101222000009 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 19.

The spelling of 20101222000009 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, nine", and thus it is an aban number.