120200112002101 has 8 divisors (see below), whose sum is σ = 127798801049304. Its totient is φ = 112660100090880.

The previous prime is 120200112002077. The next prime is 120200112002129. The reversal of 120200112002101 is 101200211002021.

It can be written as a sum of positive squares in 4 ways, for example, as 74909890502500 + 45290221499601 = 8655050^2 + 6729801^2 .

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 120200112002101 - 2¹⁷ = 120200111871029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200112002161) 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, 14669279770 + ... + 14669287963.

It is an arithmetic number, because the mean of its divisors is an integer number (15974850131163).

Almost surely, 2^{120200112002101} is an apocalyptic number.

It is an amenable number.

120200112002101 is a deficient number, since it is larger than the sum of its proper divisors (7598689047203).

120200112002101 is a wasteful number, since it uses less digits than its factorization.

120200112002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29338567991.

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

Adding to 120200112002101 its reverse (101200211002021), we get a palindrome (221400323004122).

The spelling of 120200112002101 in words is "one hundred twenty trillion, two hundred billion, one hundred twelve million, two thousand, one hundred one".