100222200000101 has 2 divisors, whose sum is σ = 100222200000102. Its totient is φ = 100222200000100.

The previous prime is 100222199999969. The next prime is 100222200000127. The reversal of 100222200000101 is 101000002222001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75147243900001 + 25074956100100 = 8668751^2 + 5007490^2 .

It is an emirp because it is prime and its reverse (101000002222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222200000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222200020101) 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, 50111100000050 + 50111100000051.

It is an arithmetic number, because the mean of its divisors is an integer number (50111100000051).

Almost surely, 2^{100222200000101} is an apocalyptic number.

It is an amenable number.

100222200000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222200000101 is an equidigital number, since it uses as much as digits as its factorization.

100222200000101 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 11.

Adding to 100222200000101 its reverse (101000002222001), we get a palindrome (201222202222102).

The spelling of 100222200000101 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, one hundred one", and thus it is an aban number.