201000010202000 has 80 divisors (see below), whose sum is σ = 486021671007600. Its totient is φ = 80399400883200.

The previous prime is 201000010201997. The next prime is 201000010202051. The reversal of 201000010202000 is 202010000102.

It can be written as a sum of positive squares in 8 ways, for example, as 105604314748816 + 95395695453184 = 10276396^2 + 9767072^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345647486 + ... + 346228514.

It is an arithmetic number, because the mean of its divisors is an integer number (6075270887595).

Almost surely, 2^{201000010202000} is an apocalyptic number.

201000010202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000010202000 is an abundant number, since it is smaller than the sum of its proper divisors (285021660805600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201000010202000 is a wasteful number, since it uses less digits than its factorization.

201000010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754021 (or 754005 counting only the distinct ones).

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

Adding to 201000010202000 its reverse (202010000102), we get a palindrome (201202020202102).

The spelling of 201000010202000 in words is "two hundred one trillion, ten million, two hundred two thousand".