2001020041 has 2 divisors, whose sum is σ = 2001020042. Its totient is φ = 2001020040.

The previous prime is 2001020029. The next prime is 2001020053. The reversal of 2001020041 is 1400201002.

It is a balanced prime because it is at equal distance from previous prime (2001020029) and next prime (2001020053).

It can be written as a sum of positive squares in only one way, i.e., 1181915641 + 819104400 = 34379^2 + 28620^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001020041 - 2⁷ = 2001019913 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001090041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000510020 + 1000510021.

It is an arithmetic number, because the mean of its divisors is an integer number (1000510021).

Almost surely, 2^2001020041 is an apocalyptic number.

It is an amenable number.

2001020041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001020041 is an equidigital number, since it uses as much as digits as its factorization.

2001020041 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 10.

The square root of 2001020041 is about 44732.7625013256. The cubic root of 2001020041 is about 1260.1352086785.

Adding to 2001020041 its reverse (1400201002), we get a palindrome (3401221043).

The spelling of 2001020041 in words is "two billion, one million, twenty thousand, forty-one".