120112200201001 has 8 divisors (see below), whose sum is σ = 123042024519624. Its totient is φ = 117182388190080.

The previous prime is 120112200200983. The next prime is 120112200201031. The reversal of 120112200201001 is 100102002211021.

It can be written as a sum of positive squares in 4 ways, for example, as 27693106355776 + 92419093845225 = 5262424^2 + 9613485^2 .

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 120112200201001 - 2¹⁷ = 120112200069929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120112200201031) 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, 18502971 + ... + 24136783.

It is an arithmetic number, because the mean of its divisors is an integer number (15380253064953).

Almost surely, 2^{120112200201001} is an apocalyptic number.

It is an amenable number.

120112200201001 is a deficient number, since it is larger than the sum of its proper divisors (2929824318623).

120112200201001 is an equidigital number, since it uses as much as digits as its factorization.

120112200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153851.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120112200201001 its reverse (100102002211021), we get a palindrome (220214202412022).

The spelling of 120112200201001 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred million, two hundred one thousand, one".