120204004431101 has 2 divisors, whose sum is σ = 120204004431102. Its totient is φ = 120204004431100.

The previous prime is 120204004431053. The next prime is 120204004431127. The reversal of 120204004431101 is 101134400402021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107825358442201 + 12378645988900 = 10383899^2 + 3518330^2 .

It is a cyclic number.

It is not a de Polignac number, because 120204004431101 - 2¹⁰ = 120204004430077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120204004431001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60102002215550 + 60102002215551.

It is an arithmetic number, because the mean of its divisors is an integer number (60102002215551).

Almost surely, 2^{120204004431101} is an apocalyptic number.

It is an amenable number.

120204004431101 is a deficient number, since it is larger than the sum of its proper divisors (1).

120204004431101 is an equidigital number, since it uses as much as digits as its factorization.

120204004431101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 120204004431101 its reverse (101134400402021), we get a palindrome (221338404833122).

The spelling of 120204004431101 in words is "one hundred twenty trillion, two hundred four billion, four million, four hundred thirty-one thousand, one hundred one".