100222101101 has 2 divisors, whose sum is σ = 100222101102. Its totient is φ = 100222101100.

The previous prime is 100222101079. The next prime is 100222101143. The reversal of 100222101101 is 101101222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85129732900 + 15092368201 = 291770^2 + 122851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222101101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222101901) 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, 50111050550 + 50111050551.

It is an arithmetic number, because the mean of its divisors is an integer number (50111050551).

Almost surely, 2^100222101101 is an apocalyptic number.

It is an amenable number.

100222101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222101101 is an equidigital number, since it uses as much as digits as its factorization.

100222101101 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 11.

Adding to 100222101101 its reverse (101101222001), we get a palindrome (201323323102).

The spelling of 100222101101 in words is "one hundred billion, two hundred twenty-two million, one hundred one thousand, one hundred one".