2001121100301 has 16 divisors (see below), whose sum is σ = 2757243551040. Its totient is φ = 1290154051200.

The previous prime is 2001121100299. The next prime is 2001121100309. The reversal of 2001121100301 is 1030011211002.

It is not a de Polignac number, because 2001121100301 - 2¹ = 2001121100299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121100309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76781856 + ... + 76807913.

It is an arithmetic number, because the mean of its divisors is an integer number (172327721940).

Almost surely, 2^{2001121100301} is an apocalyptic number.

It is an amenable number.

2001121100301 is a deficient number, since it is larger than the sum of its proper divisors (756122450739).

2001121100301 is a wasteful number, since it uses less digits than its factorization.

2001121100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153589916.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2001121100301 its reverse (1030011211002), we get a palindrome (3031132311303).

The spelling of 2001121100301 in words is "two trillion, one billion, one hundred twenty-one million, one hundred thousand, three hundred one".