100011202200001 has 2 divisors, whose sum is σ = 100011202200002. Its totient is φ = 100011202200000.

The previous prime is 100011202199899. The next prime is 100011202200011. The reversal of 100011202200001 is 100002202110001.

It is an a-pointer prime, because the next prime (100011202200011) can be obtained adding 100011202200001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99950106225025 + 61095974976 = 9997505^2 + 247176^2 .

It is an emirp because it is prime and its reverse (100002202110001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011202200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011202200011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005601100000 + 50005601100001.

It is an arithmetic number, because the mean of its divisors is an integer number (50005601100001).

Almost surely, 2^{100011202200001} is an apocalyptic number.

It is an amenable number.

100011202200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011202200001 is an equidigital number, since it uses as much as digits as its factorization.

100011202200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011202200001 its reverse (100002202110001), we get a palindrome (200013404310002).

The spelling of 100011202200001 in words is "one hundred trillion, eleven billion, two hundred two million, two hundred thousand, one".