1020242420201 has 16 divisors (see below), whose sum is σ = 1032554407248. Its totient is φ = 1007976288000.

The previous prime is 1020242420167. The next prime is 1020242420213.

1020242420201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 101012094976 + 919230325225 = 317824^2 + 958765^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020242420201 - 2⁶ = 1020242420137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1020242420251) 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, 96271235 + ... + 96281831.

It is an arithmetic number, because the mean of its divisors is an integer number (64534650453).

Almost surely, 2^{1020242420201} is an apocalyptic number.

It is an amenable number.

1020242420201 is a deficient number, since it is larger than the sum of its proper divisors (12311987047).

1020242420201 is a wasteful number, since it uses less digits than its factorization.

1020242420201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 1020242420201 in words is "one trillion, twenty billion, two hundred forty-two million, four hundred twenty thousand, two hundred one".