201000201020101 has 16 divisors (see below), whose sum is σ = 240944082925824. Its totient is φ = 163941334723584.

The previous prime is 201000201020089. The next prime is 201000201020119. The reversal of 201000201020101 is 101020102000102.

It is a cyclic number.

It is not a de Polignac number, because 201000201020101 - 2²¹ = 201000198922949 is a prime.

It is a super-2 number, since 2×201000201020101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000201020191) 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 15 ways as a sum of consecutive naturals, for example, 3234291346 + ... + 3234353491.

It is an arithmetic number, because the mean of its divisors is an integer number (15059005182864).

Almost surely, 2^{201000201020101} is an apocalyptic number.

It is an amenable number.

201000201020101 is a deficient number, since it is larger than the sum of its proper divisors (39943881905723).

201000201020101 is a wasteful number, since it uses less digits than its factorization.

201000201020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468645060.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201000201020101 its reverse (101020102000102), we get a palindrome (302020303020203).

The spelling of 201000201020101 in words is "two hundred one trillion, two hundred one million, twenty thousand, one hundred one".