120012120111001 has 2 divisors, whose sum is σ = 120012120111002. Its totient is φ = 120012120111000.

The previous prime is 120012120110983. The next prime is 120012120111019. The reversal of 120012120111001 is 100111021210021.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (120012120110983) and next prime (120012120111019).

It can be written as a sum of positive squares in only one way, i.e., 78793601483776 + 41218518627225 = 8876576^2 + 6420165^2 .

It is an emirp because it is prime and its reverse (100111021210021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120012120111001 - 2²¹ = 120012118013849 is a prime.

It is a super-2 number, since 2×120012120111001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120012120171001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60006060055500 + 60006060055501.

It is an arithmetic number, because the mean of its divisors is an integer number (60006060055501).

Almost surely, 2^{120012120111001} is an apocalyptic number.

It is an amenable number.

120012120111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

120012120111001 is an equidigital number, since it uses as much as digits as its factorization.

120012120111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120012120111001 its reverse (100111021210021), we get a palindrome (220123141321022).

The spelling of 120012120111001 in words is "one hundred twenty trillion, twelve billion, one hundred twenty million, one hundred eleven thousand, one".