100001011222201 has 2 divisors, whose sum is σ = 100001011222202. Its totient is φ = 100001011222200.

The previous prime is 100001011222157. The next prime is 100001011222237. The reversal of 100001011222201 is 102222110100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65900316645801 + 34100694576400 = 8117901^2 + 5839580^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001011222201 - 2¹⁷ = 100001011091129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100001011222271) 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, 50000505611100 + 50000505611101.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505611101).

Almost surely, 2^{100001011222201} is an apocalyptic number.

It is an amenable number.

100001011222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011222201 is an equidigital number, since it uses as much as digits as its factorization.

100001011222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001011222201 its reverse (102222110100001), we get a palindrome (202223121322202).

The spelling of 100001011222201 in words is "one hundred trillion, one billion, eleven million, two hundred twenty-two thousand, two hundred one".