1000202010201 has 9 divisors (see below), whose sum is σ = 1444740570741. Its totient is φ = 666799339932.

The previous prime is 1000202010187. The next prime is 1000202010211. The reversal of 1000202010201 is 1020102020001.

The square root of 1000202010201 is 1000101.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1000202010201 - 2⁵ = 1000202010169 is a prime.

It is a super-2 number, since 2×1000202010201² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000202010211) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2833620 + ... + 3166986.

Almost surely, 2^{1000202010201} is an apocalyptic number.

1000202010201 is the 1000101-st square number.

1000202010201 is the 500051-st centered octagonal number.

It is an amenable number.

1000202010201 is a deficient number, since it is larger than the sum of its proper divisors (444538560540).

1000202010201 is an frugal number, since it uses more digits than its factorization.

1000202010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666740 (or 333370 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000202010201 its reverse (1020102020001), we get a palindrome (2020304030202).

The spelling of 1000202010201 in words is "one trillion, two hundred two million, ten thousand, two hundred one".