10001100222109 has 2 divisors, whose sum is σ = 10001100222110. Its totient is φ = 10001100222108.

The previous prime is 10001100222079. The next prime is 10001100222181. The reversal of 10001100222109 is 90122200110001.

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., 8958066958009 + 1043033264100 = 2993003^2 + 1021290^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100222109 - 2²⁹ = 10000563351197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100222209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550111054 + 5000550111055.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550111055).

Almost surely, 2^{10001100222109} is an apocalyptic number.

It is an amenable number.

10001100222109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100222109 is an equidigital number, since it uses as much as digits as its factorization.

10001100222109 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 19.

The spelling of 10001100222109 in words is "ten trillion, one billion, one hundred million, two hundred twenty-two thousand, one hundred nine".