100021222000009 has 2 divisors, whose sum is σ = 100021222000010. Its totient is φ = 100021222000008.

The previous prime is 100021221999949. The next prime is 100021222000127. The reversal of 100021222000009 is 900000222120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61904983392784 + 38116238607225 = 7867972^2 + 6173835^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021222000009 - 2²⁹ = 100020685129097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100021222000009.

It is not a weakly prime, because it can be changed into another prime (100021222000309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010611000004 + 50010611000005.

It is an arithmetic number, because the mean of its divisors is an integer number (50010611000005).

Almost surely, 2^{100021222000009} is an apocalyptic number.

It is an amenable number.

100021222000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021222000009 is an equidigital number, since it uses as much as digits as its factorization.

100021222000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 100021222000009 in words is "one hundred trillion, twenty-one billion, two hundred twenty-two million, nine", and thus it is an aban number.