200201020101 has 12 divisors (see below), whose sum is σ = 290647168812. Its totient is φ = 132789846336.

The previous prime is 200201020093. The next prime is 200201020121. The reversal of 200201020101 is 101020102002.

200201020101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 112422737025 + 87778283076 = 335295^2 + 296274^2 .

It is not a de Polignac number, because 200201020101 - 2³ = 200201020093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56456496 + ... + 56460041.

It is an arithmetic number, because the mean of its divisors is an integer number (24220597401).

Almost surely, 2^200201020101 is an apocalyptic number.

It is an amenable number.

200201020101 is a deficient number, since it is larger than the sum of its proper divisors (90446148711).

200201020101 is a wasteful number, since it uses less digits than its factorization.

200201020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112916740 (or 112916737 counting only the distinct ones).

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

Adding to 200201020101 its reverse (101020102002), we get a palindrome (301221122103).

The spelling of 200201020101 in words is "two hundred billion, two hundred one million, twenty thousand, one hundred one".