201201020001 has 12 divisors (see below), whose sum is σ = 291113793828. Its totient is φ = 133907814144.

The previous prime is 201201019969. The next prime is 201201020029. The reversal of 201201020001 is 100020102102.

201201020001 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 142249665600 + 58951354401 = 377160^2 + 242799^2 .

It is not a de Polignac number, because 201201020001 - 2⁵ = 201201019969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (201201020071) 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, 18844300 + ... + 18854973.

It is an arithmetic number, because the mean of its divisors is an integer number (24259482819).

Almost surely, 2^201201020001 is an apocalyptic number.

It is an amenable number.

201201020001 is a deficient number, since it is larger than the sum of its proper divisors (89912773827).

201201020001 is a wasteful number, since it uses less digits than its factorization.

201201020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37699872 (or 37699869 counting only the distinct ones).

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

Adding to 201201020001 its reverse (100020102102), we get a palindrome (301221122103).

The spelling of 201201020001 in words is "two hundred one billion, two hundred one million, twenty thousand, one".