100101222210233 has 2 divisors, whose sum is σ = 100101222210234. Its totient is φ = 100101222210232.

The previous prime is 100101222210151. The next prime is 100101222210257. The reversal of 100101222210233 is 332012222101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75466001771689 + 24635220438544 = 8687117^2 + 4963388^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101222210233 - 2⁴⁰ = 99001710582457 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101222219233) 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, 50050611105116 + 50050611105117.

It is an arithmetic number, because the mean of its divisors is an integer number (50050611105117).

Almost surely, 2^{100101222210233} is an apocalyptic number.

It is an amenable number.

100101222210233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101222210233 is an equidigital number, since it uses as much as digits as its factorization.

100101222210233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100101222210233 its reverse (332012222101001), we get a palindrome (432113444311234).

The spelling of 100101222210233 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, two hundred ten thousand, two hundred thirty-three".