100022113213409 has 2 divisors, whose sum is σ = 100022113213410. Its totient is φ = 100022113213408.

The previous prime is 100022113213357. The next prime is 100022113213423. The reversal of 100022113213409 is 904312311220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98216959739809 + 1805153473600 = 9910447^2 + 1343560^2 .

It is an emirp because it is prime and its reverse (904312311220001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022113213409 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 (100022113219409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011056606704 + 50011056606705.

It is an arithmetic number, because the mean of its divisors is an integer number (50011056606705).

Almost surely, 2^{100022113213409} is an apocalyptic number.

It is an amenable number.

100022113213409 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022113213409 is an equidigital number, since it uses as much as digits as its factorization.

100022113213409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 100022113213409 in words is "one hundred trillion, twenty-two billion, one hundred thirteen million, two hundred thirteen thousand, four hundred nine".