2001042420301 has 16 divisors (see below), whose sum is σ = 2075296302000. Its totient is φ = 1927144780288.

The previous prime is 2001042420263. The next prime is 2001042420329. The reversal of 2001042420301 is 1030242401002.

It can be written as a sum of positive squares in 8 ways, for example, as 232743529225 + 1768298891076 = 482435^2 + 1329774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001042420301 - 2²³ = 2001034031693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001042420341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18656775 + ... + 18763723.

It is an arithmetic number, because the mean of its divisors is an integer number (129706018875).

Almost surely, 2^{2001042420301} is an apocalyptic number.

It is an amenable number.

2001042420301 is a deficient number, since it is larger than the sum of its proper divisors (74253881699).

2001042420301 is a wasteful number, since it uses less digits than its factorization.

2001042420301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108608.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2001042420301 its reverse (1030242401002), we get a palindrome (3031284821303).

The spelling of 2001042420301 in words is "two trillion, one billion, forty-two million, four hundred twenty thousand, three hundred one".