120102122101001 has 8 divisors (see below), whose sum is σ = 120607001274408. Its totient is φ = 119597296896000.

The previous prime is 120102122100979. The next prime is 120102122101021. The reversal of 120102122101001 is 100101221201021.

It can be written as a sum of positive squares in 4 ways, for example, as 76305204031225 + 43796918069776 = 8735285^2 + 6617924^2 .

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 120102122101001 - 2⁶ = 120102122100937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120102122101021) 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, 9028820 + ... + 17936661.

It is an arithmetic number, because the mean of its divisors is an integer number (15075875159301).

Almost surely, 2^{120102122101001} is an apocalyptic number.

It is an amenable number.

120102122101001 is a deficient number, since it is larger than the sum of its proper divisors (504879173407).

120102122101001 is a wasteful number, since it uses less digits than its factorization.

120102122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26984203.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120102122101001 its reverse (100101221201021), we get a palindrome (220203343302022).

The spelling of 120102122101001 in words is "one hundred twenty trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one".