120011221100129 has 2 divisors, whose sum is σ = 120011221100130. Its totient is φ = 120011221100128.

The previous prime is 120011221100107. The next prime is 120011221100269. The reversal of 120011221100129 is 921001122110021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94834389507025 + 25176831593104 = 9738295^2 + 5017652^2 .

It is a cyclic number.

It is not a de Polignac number, because 120011221100129 - 2⁸ = 120011221099873 is a prime.

It is not a weakly prime, because it can be changed into another prime (120011221190129) 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, 60005610550064 + 60005610550065.

It is an arithmetic number, because the mean of its divisors is an integer number (60005610550065).

Almost surely, 2^{120011221100129} is an apocalyptic number.

It is an amenable number.

120011221100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

120011221100129 is an equidigital number, since it uses as much as digits as its factorization.

120011221100129 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 23.

It can be divided in two parts, 12001122110012 and 9, that added together give a palindrome (12001122110021).

The spelling of 120011221100129 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-nine".