120202012002001 has 16 divisors (see below), whose sum is σ = 129020627422800. Its totient is φ = 111577715509248.

The previous prime is 120202012001983. The next prime is 120202012002041. The reversal of 120202012002001 is 100200210202021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 314075059776 + 119887936942225 = 560424^2 + 10949335^2 .

It is a cyclic number.

It is not a de Polignac number, because 120202012002001 - 2³³ = 120193422067409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120202012002041) 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 15 ways as a sum of consecutive naturals, for example, 34668195 + ... + 37977463.

It is an arithmetic number, because the mean of its divisors is an integer number (8063789213925).

Almost surely, 2^{120202012002001} is an apocalyptic number.

It is an amenable number.

120202012002001 is a deficient number, since it is larger than the sum of its proper divisors (8818615420799).

120202012002001 is a wasteful number, since it uses less digits than its factorization.

120202012002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338628.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120202012002001 its reverse (100200210202021), we get a palindrome (220402222204022).

The spelling of 120202012002001 in words is "one hundred twenty trillion, two hundred two billion, twelve million, two thousand, one".