2001122121073 has 2 divisors, whose sum is σ = 2001122121074. Its totient is φ = 2001122121072.

The previous prime is 2001122121071. The next prime is 2001122121137. The reversal of 2001122121073 is 3701212211002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1859590414224 + 141531706849 = 1363668^2 + 376207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001122121073 - 2¹ = 2001122121071 is a prime.

Together with 2001122121071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2001122121071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000561060536 + 1000561060537.

It is an arithmetic number, because the mean of its divisors is an integer number (1000561060537).

Almost surely, 2^{2001122121073} is an apocalyptic number.

It is an amenable number.

2001122121073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001122121073 is an equidigital number, since it uses as much as digits as its factorization.

2001122121073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 2001122121073 its reverse (3701212211002), we get a palindrome (5702334332075).

The spelling of 2001122121073 in words is "two trillion, one billion, one hundred twenty-two million, one hundred twenty-one thousand, seventy-three".