2000120041001 has 2 divisors, whose sum is σ = 2000120041002. Its totient is φ = 2000120041000.

The previous prime is 2000120040929. The next prime is 2000120041019. The reversal of 2000120041001 is 1001400210002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1328947840000 + 671172201001 = 1152800^2 + 819251^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000120041001 is a prime.

It is a super-3 number, since 3×2000120041001³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2000120041301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000060020500 + 1000060020501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000060020501).

Almost surely, 2^{2000120041001} is an apocalyptic number.

It is an amenable number.

2000120041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000120041001 is an equidigital number, since it uses as much as digits as its factorization.

2000120041001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000120041001 its reverse (1001400210002), we get a palindrome (3001520251003).

The spelling of 2000120041001 in words is "two trillion, one hundred twenty million, forty-one thousand, one".