100122222102121 has 2 divisors, whose sum is σ = 100122222102122. Its totient is φ = 100122222102120.

The previous prime is 100122222102109. The next prime is 100122222102151. The reversal of 100122222102121 is 121201222221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96939994247721 + 3182227854400 = 9845811^2 + 1783880^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122222102121 - 2⁹ = 100122222101609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122222102151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061111051060 + 50061111051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061111051061).

Almost surely, 2^{100122222102121} is an apocalyptic number.

It is an amenable number.

100122222102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122222102121 is an equidigital number, since it uses as much as digits as its factorization.

100122222102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100122222102121 its reverse (121201222221001), we get a palindrome (221323444323122).

The spelling of 100122222102121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-one".