100011222001 has 2 divisors, whose sum is σ = 100011222002. Its totient is φ = 100011222000.

The previous prime is 100011221987. The next prime is 100011222049. The reversal of 100011222001 is 100222110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62038853776 + 37972368225 = 249076^2 + 194865^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011222001 - 2⁹ = 100011221489 is a prime.

It is a super-2 number, since 2×100011222001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100011222401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005611000 + 50005611001.

It is an arithmetic number, because the mean of its divisors is an integer number (50005611001).

Almost surely, 2^100011222001 is an apocalyptic number.

It is an amenable number.

100011222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011222001 is an equidigital number, since it uses as much as digits as its factorization.

100011222001 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 100011222001 its reverse (100222110001), we get a palindrome (200233332002).

The spelling of 100011222001 in words is "one hundred billion, eleven million, two hundred twenty-two thousand, one".