100122220122121 has 2 divisors, whose sum is σ = 100122220122122. Its totient is φ = 100122220122120.

The previous prime is 100122220122103. The next prime is 100122220122179. The reversal of 100122220122121 is 121221022221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86378436000000 + 13743784122121 = 9294000^2 + 3707261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122220122121 - 2¹⁷ = 100122219991049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122220122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061110061060 + 50061110061061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110061061).

Almost surely, 2^{100122220122121} is an apocalyptic number.

It is an amenable number.

100122220122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122220122121 is an equidigital number, since it uses as much as digits as its factorization.

100122220122121 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 100122220122121 its reverse (121221022221001), we get a palindrome (221343242343122).

The spelling of 100122220122121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".