100100000223001 has 2 divisors, whose sum is σ = 100100000223002. Its totient is φ = 100100000223000.

The previous prime is 100100000222941. The next prime is 100100000223031. The reversal of 100100000223001 is 100322000001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100099924950025 + 75272976 = 10004995^2 + 8676^2 .

It is an emirp because it is prime and its reverse (100322000001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100000223001 - 2¹⁵ = 100100000190233 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100000223031) 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, 50050000111500 + 50050000111501.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000111501).

Almost surely, 2^{100100000223001} is an apocalyptic number.

It is an amenable number.

100100000223001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000223001 is an equidigital number, since it uses as much as digits as its factorization.

100100000223001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100100000223001 its reverse (100322000001001), we get a palindrome (200422000224002).

It can be divided in two parts, 100100000 and 223001, that added together give a palindrome (100323001).

The spelling of 100100000223001 in words is "one hundred trillion, one hundred billion, two hundred twenty-three thousand, one".