120020120101001 has 8 divisors (see below), whose sum is σ = 124178288447880. Its totient is φ = 115863254655232.

The previous prime is 120020120100941. The next prime is 120020120101051. The reversal of 120020120101001 is 100101021020021.

It can be written as a sum of positive squares in 4 ways, for example, as 42585400011001 + 77434720090000 = 6525749^2 + 8799700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120020120101001 - 2³⁴ = 120002940231817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120020120101051) 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 in 7 ways as a sum of consecutive naturals, for example, 325537850 + ... + 325906323.

It is an arithmetic number, because the mean of its divisors is an integer number (15522286055985).

Almost surely, 2^{120020120101001} is an apocalyptic number.

It is an amenable number.

120020120101001 is a deficient number, since it is larger than the sum of its proper divisors (4158168346879).

120020120101001 is an equidigital number, since it uses as much as digits as its factorization.

120020120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651450555.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120020120101001 its reverse (100101021020021), we get a palindrome (220121141121022).

The spelling of 120020120101001 in words is "one hundred twenty trillion, twenty billion, one hundred twenty million, one hundred one thousand, one".