120012101011001 has 8 divisors (see below), whose sum is σ = 120528617662440. Its totient is φ = 119495596695552.

The previous prime is 120012101010961. The next prime is 120012101011039. The reversal of 120012101011001 is 100110101210021.

It can be written as a sum of positive squares in 4 ways, for example, as 7109235679225 + 112902865331776 = 2666315^2 + 10625576^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-120012101011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120012101011091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16687265 + ... + 22770353.

It is an arithmetic number, because the mean of its divisors is an integer number (15066077207805).

Almost surely, 2^{120012101011001} is an apocalyptic number.

It is an amenable number.

120012101011001 is a deficient number, since it is larger than the sum of its proper divisors (516516651439).

120012101011001 is an equidigital number, since it uses as much as digits as its factorization.

120012101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167995.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 120012101011001 its reverse (100110101210021), we get a palindrome (220122202221022).

The spelling of 120012101011001 in words is "one hundred twenty trillion, twelve billion, one hundred one million, eleven thousand, one".