100121000221129 has 2 divisors, whose sum is σ = 100121000221130. Its totient is φ = 100121000221128.

The previous prime is 100121000221111. The next prime is 100121000221169. The reversal of 100121000221129 is 921122000121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85381942855225 + 14739057365904 = 9240235^2 + 3839148^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121000221129 - 2¹⁷ = 100121000090057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121000221169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500110564 + 50060500110565.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500110565).

Almost surely, 2^{100121000221129} is an apocalyptic number.

It is an amenable number.

100121000221129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121000221129 is an equidigital number, since it uses as much as digits as its factorization.

100121000221129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 100121000221129 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one thousand, one hundred twenty-nine".