1020505050201 has 32 divisors (see below), whose sum is σ = 1719936456448. Its totient is φ = 523740038400.

The previous prime is 1020505050167. The next prime is 1020505050209.

1020505050201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1020505050201 - 2¹⁰ = 1020505049177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 1010201-st Hogben number.

It is not an unprimeable number, because it can be changed into a prime (1020505050209) by changing a digit.

It is a nontrivial repunit in base 1010200.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50504950 + ... + 50525151.

It is an arithmetic number, because the mean of its divisors is an integer number (53748014264).

Almost surely, 2^{1020505050201} is an apocalyptic number.

It is an amenable number.

1020505050201 is a deficient number, since it is larger than the sum of its proper divisors (699431406247).

1020505050201 is a wasteful number, since it uses less digits than its factorization.

1020505050201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101030161.

The product of its (nonzero) digits is 500, while the sum is 21.

The spelling of 1020505050201 in words is "one trillion, twenty billion, five hundred five million, fifty thousand, two hundred one".